Updated on 2021/10/21

写真a

 
HIROSE Minoru
 
Organization
Institute for Advanced Research Designated assistant professor
Graduate School of Mathematics Designated assistant professor
Title
Designated assistant professor
External link

Degree 1

  1. 博士(理学) ( 2014.3   京都大学 ) 

Research Interests 3

  1. Number Theory

  2. Multiple Zeta Value

  3. L function

Research Areas 1

  1. Natural Science / Algebra

Research History 8

  1. Nagoya University   Institute For Advanced Research   Designated assistant professor

    2021.4

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  2. Ritsumeikan Asia Pacific University   Part-time Lecturer

    2018.10 - 2019.3

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  3. Kyushu University   Faculty of Mathematics   JSPS Research Fellow (PD)

    2018.4 - 2021.3

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  4. Kyushu University   Multiple Zeta Reseach Center   Research Fellow

    2017.4 - 2018.3

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  5. 京都大学理学研究科   教務補佐員

    2015.4 - 2017.3

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  6. Kyoto University

    2014.11 - 2015.3

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  7. Kyoto University

    2014.4 - 2014.10

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  8. Kyoto University

    2011.4 - 2014.3

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Papers 22

  1. Ohno-type relation for interpolated multiple zeta values Reviewed

    Minoru Hirose, Hideki Murahara, Masataka Ono

    Journal of Number Theory (to appear)     2021.10

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    We prove the Ohno-type relation for the interpolated multiple zeta values,
    which was introduced first by Yamamoto. Same type results for finite multiple
    zeta values are also given. Moreover, these relations give the sum formula for
    interpolated multiple zeta values and interpolated $\mathcal{F}$-multiple zeta
    values, which were proved by Yamamoto and Seki, respectively.

    arXiv

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    Other Link: http://arxiv.org/pdf/2103.14851v1

  2. Generating functions for sums of polynomial multiple zeta values Reviewed

    Minoru Hirose, Hideki Murahara, Shingo Saito

    Tohoku Mathematical Journal (to appear)     2021.4

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    The sum formulas for multiple zeta(-star) values and symmetric multiple
    zeta(-star) values bear a striking resemblance. We explain the resemblance in a
    rather straightforward manner using an identity that involves the Schur
    multiple zeta values. We also obtain the sum formula for polynomial multiple
    zeta(-star) values in terms of generating functions, simultaneously
    generalizing the sum formulas for multiple zeta(-star) values and symmetric
    multiple zeta(-star) values.

    arXiv

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    Other Link: http://arxiv.org/pdf/2011.04220v1

  3. $${\mathbb {Q } }$$-linear relations of specific families of multiple zeta values and the linear part of Kawashima’s relation Reviewed

    Minoru Hirose, Hideki Murahara, Tomokazu Onozuka

    manuscripta mathematica   Vol. 164 ( 3-4 ) page: 455 - 465   2021.3

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    Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media LLC  

    DOI: 10.1007/s00229-020-01191-5

    arXiv

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    Other Link: http://link.springer.com/article/10.1007/s00229-020-01191-5/fulltext.html

  4. On variants of symmetric multiple zeta-star values and the cyclic sum formula Reviewed

    Minoru Hirose, Hideki Murahara, Masataka Ono

    The Ramanujan Journal     2021.2

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    Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media LLC  

    DOI: 10.1007/s11139-020-00341-3

    arXiv

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    Other Link: http://link.springer.com/article/10.1007/s11139-020-00341-3/fulltext.html

  5. OHNO-TYPE RELATIONS FOR CLASSICAL AND FINITE MULTIPLE ZETA-STAR VALUES Reviewed

    Minoru HIROSE, Kohtaro IMATOMI, Hideki MURAHARA, Shingo SAITO

    Kyushu Journal of Mathematics   Vol. 75 ( 1 ) page: 115 - 124   2021

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    Publishing type:Research paper (scientific journal)   Publisher:Faculty of Mathematics, Kyushu University  

    DOI: 10.2206/kyushujm.75.115

    arXiv

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  6. Generating functions for Ohno type sums of finite and symmetric multiple zeta-star values Reviewed

    Minoru Hirose, Hideki Murahara, Shingo Saito

    The Asian Journal of Mathematics (to appear)     2021

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    Ohno's relation states that a certain sum, which we call an Ohno type sum, of
    multiple zeta values remains unchanged if we replace the base index by its dual
    index. In view of Oyama's theorem concerning Ohno type sums of finite and
    symmetric multiple zeta values, Kaneko looked at Ohno type sums of finite and
    symmetric multiple zeta-star values and made a conjecture on the generating
    function for a specific index of depth three. In this paper, we confirm this
    conjecture and further give a formula for arbitrary indices of depth three.

    arXiv

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    Other Link: http://arxiv.org/pdf/1905.04875v1

  7. Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals Reviewed

    Minoru Hirose, Nobuo Sato

    Journal of Algebra   Vol. 556   page: 363 - 384   2020.8

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    Publishing type:Research paper (scientific journal)   Publisher:Elsevier BV  

    DOI: 10.1016/j.jalgebra.2020.01.032

    arXiv

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  8. Linear relations of Ohno sums of multiple zeta values Reviewed

    Minoru Hirose, Hideki Murahara, Tomokazu Onozuka, Nobuo Sato

    Indagationes Mathematicae   Vol. 31 ( 4 ) page: 556 - 567   2020.7

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    Publishing type:Research paper (scientific journal)   Publisher:Elsevier BV  

    DOI: 10.1016/j.indag.2020.04.004

    arXiv

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  9. The connector for Double Ohno relation Reviewed

    Minoru Hirose, Nobuo Sato, Shin-ichiro Seki

    Acta Arithmetica, to be appeard     2020.6

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    In this paper, we introduce a new connector which generalizes the connector
    found by the third author and Yamamoto. The new connector gives a direct proof
    of the double Ohno relation recently proved by the first author, the second
    author, Murahara, and Onozuka. Furthermore, we obtain a simultaneous
    generalization of the ($q$-)Ohno relation and the ($q$-)double Ohno relation.

    arXiv

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    Other Link: http://arxiv.org/pdf/2006.09036v1

  10. An interpolation of Ohno's relation to complex functions Reviewed

    Minoru Hirose, Hideki Murahara, Tomokazu Onozuka

    MATHEMATICA SCANDINAVICA   Vol. 126 ( 2 ) page: 293 - 297   2020.5

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    Publishing type:Research paper (scientific journal)   Publisher:Aarhus University Library  

    Ohno's relation is a well known formula among multiple zeta values. In this paper, we present its interpolation to complex functions.

    DOI: 10.7146/math.scand.a-119209

    arXiv

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  11. Polynomial Generalization of the Regularization Theorem for Multiple Zeta Values Reviewed

    Minoru Hirose, Hideki Murahara, Shingo Saito

    Publications of the Research Institute for Mathematical Sciences   Vol. 56 ( 1 ) page: 207 - 215   2020.1

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    Publishing type:Research paper (scientific journal)   Publisher:European Mathematical Society Publishing House  

    DOI: 10.4171/prims/56-1-9

    arXiv

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  12. Double shuffle relations for refined symmetric multiple zeta values Reviewed International journal

    Minoru Hirose

    Documenta Mathematica   Vol. 25   page: 365 - 380   2020

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    Symmetric multiple zeta values (SMZVs) are elements in the ring of all
    multiple zeta values modulo the ideal generated by $\zeta(2)$ introduced by
    Kaneko-Zagier as counterparts of finite multiple zeta values. It is known that
    symmetric multiple zeta values satisfy double shuffle relations and duality
    relations. In this paper, we construct certain lifts of SMZVs which live in the
    ring generated by all multiple zeta values and $2\pi i$ as certain iterated
    integrals on $\mathbb{P}^{1}\setminus\{0,1,\infty\}$ along a certain closed
    path. We call this lifted values as refined symmetric multiple zeta values
    (RSMZVs). We show double shuffle relations and duality relations for RSMZVs.
    These relations are refinements of the double shuffle relations and the duality
    relations of SMZVs. Furthermore we compare RSMZVs to other variants of lifts of
    SMZVs. Especially, we prove that RSMZVs coincide with
    Bachmann-Takeyama-Tasaka's $\xi$-values.

    arXiv

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    Other Link: http://arxiv.org/pdf/1807.04747v2

  13. A Cyclic Analogue of Multiple Zeta Values Reviewed

    Minoru Hirose, Hideki Murahara, Takuya Murakami

    Commentarii mathematici Universitatis Sancti Pauli   Vol. 67 ( 2 ) page: 147 - 166   2019.12

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    We consider a cyclic analogue of multiple zeta values (CMZVs), which has two
    kinds of expressions; series and integral expression. We prove an
    `integral$=$series' type identity for CMZVs. By using this identity, we
    construct two classes of $\mathbb{Q}$-linear relations among CMZVs. One of them
    is a generalization of the cyclic sum formula for multiple zeta-star values. We
    also give an alternative proof of the derivation relation for multiple zeta
    values.

    DOI: 10.14992/00018670

    arXiv

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  14. On the theory of normalized Shintani L-functions and its application to Hecke L-functions, I: Real quadratic fields Reviewed

    Minoru Hirose

    Journal of Number Theory   Vol. 200   page: 132 - 153   2019.7

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    Publishing type:Research paper (scientific journal)   Publisher:Elsevier BV  

    DOI: 10.1016/j.jnt.2018.11.023

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  15. Iterated integrals on P1∖{0,1,∞,z} and a class of relations among multiple zeta values Reviewed

    Minoru Hirose, Nobuo Sato

    Advances in Mathematics   Vol. 348   page: 163 - 182   2019.5

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    Publishing type:Research paper (scientific journal)   Publisher:Elsevier BV  

    DOI: 10.1016/j.aim.2019.03.005

    arXiv

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  16. Duality/sum formulas for iterated integrals and their application to multiple zeta values Reviewed

    Minoru Hirose, Kohei Iwaki, Nobuo Sato, Koji Tasaka

    Journal of Number Theory   Vol. 195   page: 72 - 83   2019.2

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    Publishing type:Research paper (scientific journal)   Publisher:Elsevier BV  

    DOI: 10.1016/j.jnt.2018.05.019

    Web of Science

    Scopus

    arXiv

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  17. Hoffman’s conjectural identity Reviewed

    Minoru Hirose, Nobuo Sato

    International Journal of Number Theory   Vol. 15 ( 01 ) page: 167 - 171   2019.2

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    Publishing type:Research paper (scientific journal)   Publisher:World Scientific Pub Co Pte Lt  

    In this paper, we prove a family of identities among multiple zeta values, which contains as a special case a conjectural identity of Hoffman. We use the iterated integrals on [Formula: see text] for our proof.

    DOI: 10.1142/s1793042119500052

    Web of Science

    arXiv

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  18. Weighted sum formula for multiple harmonic sums modulo primes Reviewed

    Minoru Hirose, Hideki Murahara, Shingo Saito

    Proceedings of the American Mathematical Society   Vol. 147   page: 3357 - 3366   2018.8

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    Language:English  

    In this paper we prove a weighted sum formula for multiple harmonic sums
    modulo primes, thereby proving a weighted sum formula for finite multiple zeta
    values. Our proof utilizes difference equations for the generating series of
    multiple harmonic sums. We also conjecture several weighted sum formulas of
    similar flavor for finite multiple zeta values.

    DOI: 10.1090/proc/14588

    arXiv

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    Other Link: http://arxiv.org/pdf/1808.00844v1

  19. A Lower Bound of the Dimension of the Vector Space Spanned by the Special Values of Certain Functions Reviewed

    Minoru HIROSE, Makoto KAWASHIMA, Nobuo SATO

    Tokyo Journal of Mathematics   Vol. 40 ( 2 ) page: 439 - 479   2017

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  20. On the functional equation of the normalized Shintani L-function of several variables Reviewed

    Minoru Hirose, Nobuo Sato

    MATHEMATISCHE ZEITSCHRIFT   Vol. 280 ( 3-4 ) page: 1085 - 1092   2015.8

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:SPRINGER HEIDELBERG  

    In this paper, we introduce the normalized Shintani L-function of several variables by an integral representation and prove its functional equation. The Shintani L-function is a generalization to several variables of the Hurwitz-Lerch zeta function and the functional equation given in this paper is a generalization of the functional equation of Hurwitz-Lerch zeta function. In addition to the functional equation, we give special values of the normalized Shintani L-function at non-positive integers and some positive integers.

    DOI: 10.1007/s00209-015-1467-y

    Web of Science

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  21. Eisenstein series identities based on partial fraction decomposition Reviewed

    Minoru Hirose, Nobuo Sato, Koji Tasaka

    RAMANUJAN JOURNAL   Vol. 38 ( 3 ) page: 455 - 463   2014.2

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    Language:English   Publisher:SPRINGER  

    From the theory of modular forms, there are exactly $[(k-2)/6]$ linear
    relations among the Eisenstein series $E_k$ and its products $E_{2i}E_{k-2i}\
    (2\le i \le [k/4])$. We present explicit formulas among these modular forms
    based on the partial fraction decomposition, and use them to determining a
    basis of the space of modular forms of weight $k$ on ${\rm SL}_2({\mathbb Z})$.

    DOI: 10.1007/s11139-014-9639-7

    Web of Science

    arXiv

    J-GLOBAL

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    Other Link: http://arxiv.org/pdf/1402.1585v1

  22. On yoshida's conjecture on the derivative of Shintani zeta functions Reviewed

    Minoru Hirose

    Proceedings of the Japan Academy Series A: Mathematical Sciences   Vol. 87 ( 1 ) page: 13 - 15   2011.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    The purpose of this paper is to prove a conjecture in Yoshida's book [2, p.33] on the higher derivative of Shintani zeta functions at s = 0. We use multivariable Shintani zeta functions to prove the conjecture. © 2011 The Japan Academy.

    DOI: 10.3792/pjaa.87.13

    Scopus

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MISC 11

  1. Bijective enumerations for symmetrized poly-Bernoulli polynomials

    Minoru Hirose, Toshiki Matsusaka, Ryutaro Sekigawa, Hyuga Yoshizaki

        2021.7

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    Recently, B\'{e}nyi and the second author introduced two combinatorial
    interpretations for symmetrized poly-Bernoulli polynomials. In the present
    study, we construct bijections between these combinatorial objects. We also
    define various combinatorial polynomials and prove that all of these
    polynomials coincide with symmetrized poly-Bernoulli polynomials.

    arXiv

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    Other Link: http://arxiv.org/pdf/2107.11952v1

  2. Ohno relation for regularized multiple zeta values

    Minoru Hirose, Hideki Murahara, Shingo Saito

        2021.5

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    The Ohno relation for multiple zeta values can be formulated as saying that a
    certain operator, defined for indices, is invariant under taking duals. In this
    paper, we generalize the Ohno relation to regularized multiple zeta values by
    showing that, although the suitably generalized operator is not invariant under
    taking duals, the relation between its values at an index and at its dual index
    can be written explicitly in terms of the gamma function.

    arXiv

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    Other Link: http://arxiv.org/pdf/2105.09631v1

  3. Ohno-type relation for interpolated multiple zeta values

    Minoru Hirose, Hideki Murahara, Masataka Ono

        2021.3

     More details

    We prove the Ohno-type relation for the interpolated multiple zeta values,
    which was introduced first by Yamamoto. Same type results for finite multiple
    zeta values are also given. Moreover, these relations give the sum formula for
    interpolated multiple zeta values and interpolated $\mathcal{F}$-multiple zeta
    values, which were proved by Yamamoto and Seki, respectively.

    arXiv

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    Other Link: http://arxiv.org/pdf/2103.14851v1

  4. The motivic Galois group of mixed Tate motives over $\mathbb{Z}[1/2]$ and its action on the fundamental group of $\mathbb{P}^{1}\setminus\{0,\pm1,\infty\}$

    Minoru Hirose, Nobuo Sato

        2020.7

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    In this paper we introduce confluence relations for motivic Euler sums (also
    called alternating multiple zeta values) and show that all linear relations
    among motivic Euler sums are exhausted by our confluence relations. This
    determines all automorphisms of the de Rham fundamental torsor of
    $\mathbb{P}^{1}\setminus\{0,\pm1,\infty\}$ coming from the action of the
    motivic Galois group of mixed Tate motives over $\mathbb{Z}[1/2]$. Moreover, we
    also discuss other applications of our confluence relations such as an explicit
    $\mathbb{Q}$-linear expansion of a given motivic Euler sum by their basis and
    $2$-adic integrality of the coefficients in the expansion.

    arXiv

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    Other Link: http://arxiv.org/pdf/2007.04288v1

  5. Modular phenomena for regularized double zeta values

    Minoru Hirose

        2020.3

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    In this paper, we investigate linear relations among regularized motivic
    iterated integrals on $\mathbb{P}^{1}\setminus\{0,1,\infty\}$ of depth two,
    which we call regularized motivic double zeta values. Some mysterious
    connection between motivic multiple zeta values and modular forms are known,
    e.g. Gangl-Kaneko-Zagier relation for the totally odd double zeta values and
    Ihara--Takao relation for the depth graded motivic Lie algebra. In this paper,
    we investigate so-called non-admissible cases and give many new
    Gangl-Kaneko-Zagier type and Ihara-Takao type relations for regularized motivic
    double zeta values. Especially, we construct linear relations among a certain
    family of regularized motivic double zeta values from odd period polynomials of
    modular forms for the unique index two congruence subgroup of the full modular
    group. This gives the first non trivial example of a construction of the
    relations among multiple zeta values (or their analogues) from modular forms
    for a congruence subgroup other than the ${\rm SL}_{2}(\mathbb{Z})$.

    arXiv

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    Other Link: http://arxiv.org/pdf/2003.05236v1

  6. Sum formula for multiple zeta function

    Minoru Hirose, Hideki Murahara, Tomokazu Onozuka

        2018.8

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    Publishing type:Internal/External technical report, pre-print, etc.  

    The sum formula is a well known relation in the field of the multiple zeta
    values. In this paper, we present its generalization for the Euler-Zagier
    multiple zeta function.

    arXiv

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    Other Link: http://arxiv.org/pdf/1808.01559v1

  7. A proof of the refined class number formula of Gross

    Minoru Hirose

        2016.8

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    Publishing type:Internal/External technical report, pre-print, etc.  

    In 1988, Gross proposed a conjectural congruence between Stickelberger
    elements and algebraic regulators, which is often referred to as the refined
    class number formula. In this paper, we prove this congruence.

    arXiv

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    Other Link: http://arxiv.org/pdf/1608.04718v1

  8. Shintani zeta functions and a refinement of Gross's leading term conjecture

    Minoru Hirose

        2016.2

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    Publishing type:Internal/External technical report, pre-print, etc.  

    We introduce the notion of Shintani data, which axiomatizes algebraic aspects
    of Shintani zeta functions. We develop the general theory of Shintani data, and
    show that the order of vanishing part of Gross's conjecture follows from the
    existence of a Shintani datum. Recently, Dasgupta and Spiess proved the order
    of vanishing part of Gross's conjecture under certain conditions. We give an
    alternative proof of their result by constructing a certain Shintani datum. We
    also propose a refinement of Gross's leading term conjecture by using the
    theory of Shintani data. Out conjecture gives a conjectural construction of
    localized Rubin-Stark elements which can be regarded as a higher rank
    generalization of the conjectural construction of Gross-Stark units due to
    Dasgupta and Dasgupta-Spiess.

    arXiv

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    Other Link: http://arxiv.org/pdf/1602.00666v1

  9. 正規新谷L関数と総実代数体のヘッケL関数について (保型形式および関連するゼータ関数の研究)

    広瀬 稔

    数理解析研究所講究録   Vol. 1934   page: 21 - 25   2015.2

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    Language:Japanese   Publisher:京都大学  

    CiNii Article

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  10. On the theory of normalized Shintani L-function and its application to Hecke L-function

    Minoru Hirose

        2013.12

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    Publishing type:Internal/External technical report, pre-print, etc.  

    We define the class of normalized Shintani L-functions of several variables.
    Unlike Shintani zeta functions, the normalized Shintani L-function is a
    holomorphic function. Moreover it satisfies a good functional equation. We show
    that any Hecke L-function of a totally real field can be expressed as a
    diagonal part of some normalized Shintani L-function of several variables. This
    gives a good several variables generalization of a Hecke L-function of a
    totally real field. This also gives a new proof of the functional equation of
    the Hecke L-function of a totally real field.

    arXiv

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    Other Link: http://arxiv.org/pdf/1312.6218v1

  11. 新谷$L$関数の関数等式について (保型形式と保型的L函数の研究)

    佐藤 信夫, 広瀬 稔

    数理解析研究所講究録   Vol. 1826   page: 144 - 152   2013.3

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    Language:Japanese   Publisher:京都大学  

    CiNii Article

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Presentations 39

  1. Stuffle product formulas for various iterated integrals

    広瀬稔

    第14回多重ゼータ研究集会  2020.11.5 

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    Event date: 2020.11

    Presentation type:Oral presentation (general)  

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  2. Iterated integrals, motivic Galois groups, and cyclotomic associators Invited

    Minoru Hirose

    66th Algebra Symposium  2021.9.3 

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  3. Ohno relation for shuffle regularized multiple zeta values

    Minoru Hirose

    Friday Tea Time Zoom Seminar  2021.4.16 

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  4. Cyclotomic associators and motivic multiple L-values Invited

    Minoru Hirose

    52th Kansai multiple zeta workshop  2020.12.5 

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  5. The motivic Galois group and alternating multiple zeta values

    Minoru Hirose

    Japan Europe Number Theory Exchange Seminar  2020.11.24 

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  6. Confluence relations for alternating multiple zeta values

    The 13th multiple zeta workshop  2020.2.16 

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  7. Motivic Galois group over Z[1/2] and linear relations among motivic alternating multiple zeta values

    Japan-Taiwan joint workshop on multiple zeta values  2020.2.9 

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    Language:English   Presentation type:Oral presentation (general)  

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  8. Generalized double zeta values and modular forms

    RIMS Conference, Algebraic Number Theory and Related Topics  2019.12.10 

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    Presentation type:Oral presentation (general)  

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  9. Multivariable generalizations of Zhao's generalized 2-1 formula and Zagier's 2-3-2 formula

    13th Fukuoka Number Theory Conference  2019.8.7 

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  10. Alternating multiple zeta values and their bases

    18th Hiroshima-Sendai workshop on number theory  2019.7.9 

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    Presentation type:Oral presentation (general)  

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  11. Multiple zeta values and modular forms for certain congruence subgroups

    Minoru Hirose

    The 12th Young Mathematicians Conference on Zeta Functions  2019.2.17 

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    Presentation type:Oral presentation (general)  

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  12. Multiple zeta values and iterated integrals

    Minoru Hirose

    2018.10.20 

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    Language:Japanese   Presentation type:Oral presentation (general)  

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  13. Iterated Integrals and Refinements of Symmetric Multiple Zeta Values

    Minoru Hirose

    Taiwan-Japan Joint Workshop on Multiple Zeta Values  2018.8.2 

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  14. Generalization of Zagier's 2-3-2 formula of multiple zeta values

    Minoru Hirose

    Ehime University Algebra Seminar  2018.7.20 

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  15. Block shuffle identity for multiple zeta values

    Minoru Hirose

    2018 Number Theory Workshop at Waseda University  2018.3.14 

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  16. On a certain class of linear relations among the multiple zeta values

    Minoru Hirose

    The 11th Young Mathematicians Conference on Zeta Functions  2018.2.21 

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  17. Iterated integrals and symmetrized multiple zeta values

    Minoru Hirose

    MZV Days at HIM  2018.1.30 

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  18. Confluence relations of multiple zeta values

    Minoru Hirose

    HIM Workshop "Periods and Regulators"  2018.1.19 

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  19. On the Charlton's conjecture and its generalization for multiple zeta values

    Minoru Hirose

    38th Kansai Multiple Zeta Seminar  2017.12.9 

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  20. On a certain class of linear relations among the multiple zeta values arising from the theory of iterated integrals

    Minoru Hirose

    3rd Japanese-German Number Theory Workshop  2017.11.22 

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  21. A generalized cyclic sum formula for iterated integrals

    Minoru Hirose

    Polylogs, multiple zetas, and related topics  2017.11.11 

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  22. On the Charlton's conjecture and its generalization for multiple zeta values

    Minoru Hirose

    Kyushu University Algebra Seminar  2017.10.20 

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  23. Enhanced regulators and p-adic L-functions

    Minoru Hirose

    Regulators in Niseko 2017  2017.9.5 

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  24. On certain identities among the multiple zeta values

    Minoru Hirose

    11th Hukuoka Number Theory Workshop  2017.8.10 

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  25. On Gross’s refined class number formula and enhanced Stickelberger elements

    Minoru Hirose

    16th Hiroshima-Sendai Number Theory Workshop  2017.7.12 

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  26. On the Gross’s refined class number formula

    Minoru Hirose

    P-adic Arithmetic Geometry and Related Topics” Seminar  2017.4.25 

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  27. A certain combinatorial module inspired by the Goncharov coproduct

    Minoru Hirose

    Various Aspects of Multiple Zeta Values  2016.7.12 

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  28. Shintani zeta functions and Gross conjecture

    Minoru Hirose

    Algebraic Number Theory and Related Topics  2015.11.30 

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  29. On an enhancement of the Stark conjecture, the Zagier conjecture and the Gross conjecture on the special values of complex and p-adic L-functions of number fields

    Minoru Hirose

    Arithmetic Geometry Seminar  2015.11 

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    Venue:Hokkaido University  

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  30. On a refinement of Rubin-Stark conjecture

    Minoru Hirose

    Number Theory Seminar  2015.6.19 

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  31. Conjectural construction of Rubin-Stark elements by Shintani method and generalization of Dasgupta’s conjecture to the higher rank case

    Minoru Hirose

    Osaka University Number theory and automorphic seminar  2015.5.15 

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  32. The partial derivatives of abelian L-functions at s=0 and refinement of Stark conjecture

    Minoru Hirose

    Japan-Korea Joint Seminar on Number Theory and Related Topics 2014  2014.11.19 

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  33. On the normalized Shintani L-functions and Hecke L-functions of totally real fields

    Minoru Hirose

    Kobe University Algebraic Seminar  2014.10.23 

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  34. On the theory of fans and its application to Shintani L-function and Hecke L-function

    Minoru Hirose

    Number Theory Workshop at Waseda University  2014.3.13 

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    Presentation type:Oral presentation (general)  

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  35. On the normalized Shintani L-function and Hecke L-function of totally real fields

    Minoru Hirose

    RIMS conference "Automorphic Forms and Related Zeta Functions"  2014.1.20 

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  36. On a construction of Hecke L-function by normalized Shintani L-functions

    Minoru Hirose

    Number Theory Seminar  2013.10.25 

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    Venue:Kyoto University  

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  37. On the Shintani L-function 2

    Minoru Hirose

    27th Automorphic Forms Workshop  2013.3.12 

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  38. On the Shintani L-function 2

    Minoru Hirose

    6th Multiple Zeta Values Workshop  2013.2.23 

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    Venue:Kyushu University  

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  39. On the functional equation of the Shintani L-function

    Nobuo Sato, Minoru Hirose

    RIMS Conference Automorphic forms and automorphic L-functions  2012.1.18 

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