# Minoru Hirose

Last updated: Jul 18, 2019 at 11:45

Name Minoru Hirose Kyushu University

## Profile

My research topics are multiple zeta values, iterated integrals, periods of motives, special values of Shintani zeta functions, e.t.c.

## Research Interests

Apr 2018
-
Today
JSPS Research Fellow (PD), Faculty of Mathematics, Kyushu University

Apr 2017
-
Mar 2018
Research Fellow, Multiple Zeta Reseach Center, Kyushu University

## Published Papers

Minoru Hirose
Journal of Number Theory   200 132-153   Jul 2019   [Refereed]
Minoru Hirose, Nobuo Sato
Advances in Mathematics   348 163-182   May 2019   [Refereed]
Minoru Hirose, Kohei Iwaki, Nobuo Sato, Koji Tasaka
Journal of Number Theory   195 72-83   Feb 2019   [Refereed]
Minoru Hirose, Nobuo Sato
International Journal of Number Theory   15(1) 167-171   Feb 2019   [Refereed]
Minoru Hirose, Hideki Murahara, Shingo Saito
Proceedings of the American Mathematical Society   147 3357-3366   Apr 2019   [Refereed]
A Lower Bound of the Dimension of the Vector Space Spanned by the Special Values of Certain Functions
Minoru HIROSE, Makoto KAWASHIMA, and Nobuo SATO
Tokyo Journal of Mathematics   40(2) 439-479   2017   [Refereed]
M. Hirose, N. Sato
Mathematische Zeitschrift   280(3) 1085-1092   Aug 2015   [Refereed]
M. Hirose, N. Sato, K. Tasaka
The Ramanujan Journal   38(3) 455-463   Dec 2015   [Refereed]
From the theory of modular forms, there are exactly linear
relations among the Eisenstein series and its products . We present explicit formulas among these modular forms
based on the partial f...
Minoru Hirose
Proceedings of the Japan Academy, Series A, Mathematical Sciences   87(1) 13-15   2011   [Refereed]
An interpolation of Ohno's relation to complex functions
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
MATHEMATICA SCANDINAVICA

## Misc

Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
Mar 2019
In this paper, we study specific families of multiple zeta values which
closely relate to the linear part of Kawashima's relation. We obtain an
explicit basis of these families, and investigate their interpolations to
complex functions. As a corol...
Minoru Hirose, Hideki Murahara, Shingo Saito
Aug 2018
Ihara, Kaneko, and Zagier defined two regularizations of multiple zeta values
and proved the regularization theorem that describes the relation between those
regularizations. We show that the regularization theorem can be generalized to
polynomial...
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
Aug 2018
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.
Minoru Hirose
Jul 2018
Symmetric multiple zeta values (SMZVs) are elements in the ring of all
multiple zeta values modulo the ideal generated by introduced by
Kaneko-Zagier as counterparts of finite multiple zeta values. It is known that
symmetric multiple ze...
Minoru Hirose, Hideki Murahara, Takuya Murakami
Jun 2018
We consider a cyclic analogue of multiple zeta values (CMZVs), which has two
kinds of expressions; series and integral expression. We prove an
`integralseries' type identity for CMZVs. By using this identity, we
construct two classes of \$\mathb...
Minoru Hirose
Jul 2018
Symmetric multiple zeta values (SMZVs) are elements in the ring of all
multiple zeta values modulo the ideal generated by introduced by
Kaneko-Zagier as counterparts of finite multiple zeta values. It is known that
symmetric multiple ze...
Minoru Hirose, Kotaro Imatomi, Hideki Murahara, Shingo Saito
Jun 2018
Ohno's relation is a generalization of both the sum formula and the duality
formula for multiple zeta values. Oyama gave a similar relation for finite
multiple zeta values, defined by Kaneko and Zagier. In this paper, we prove
relations of similar...
Minoru Hirose, Nobuo Sato
Jan 2018
In this paper we consider iterated integrals on
and define a class of
-linear relations among them, which arises from the differential
structure of the iterated integrals with respect to . W...
Minoru Hirose, Nobuo Sato
Jan 2018
In this paper we prove certain algebraic identities, which correspond to
differentiations of the shuffle relation, the stuffle relation, and the
relations which arise from Möbius transformations of iterated integrals.
These formulas provide fund...
Minoru Hirose, Kohei Iwaki, Nobuo Sato, Koji Tasaka
Apr 2017
We investigate linear relations among a class of iterated integrals on the
Riemann sphere minus four points and . Generalization of the
duality formula and the sum formula for multiple zeta values to the iterated
integrals are given.
Minoru Hirose, Nobuo Sato
Apr 2017
In this paper, we shall prove the equality $\zeta(3,\{2\}^{n},1,2)=\zeta(\{2\}^{n+3})+2\zeta(3,3,\{2\}^{n})$ conjectured
by Hoffman using certain identities among iterated integrals on
.
Minoru Hirose
Aug 2016
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.
Minoru Hirose
Feb 2016
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...
Minoru Hirose, Nobuo Sato
Oct 2013
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 functio...
Minoru Hirose
Dec 2013
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-f...

## Conference Activities & Talks

Multiple zeta values and modular forms for certain congruence subgroups
Minoru Hirose
The 12th Young Mathematicians Conference on Zeta Functions   17 Feb 2019
Multiple zeta values and iterated integrals
Minoru Hirose
20 Oct 2018
Iterated Integrals and Refinements of Symmetric Multiple Zeta Values
Minoru Hirose
Taiwan-Japan Joint Workshop on Multiple Zeta Values   2 Aug 2018
Generalization of Zagier's 2-3-2 formula of multiple zeta values
Minoru Hirose
Ehime University Algebra Seminar   20 Jul 2018
Block shuffle identity for multiple zeta values
Minoru Hirose
2018 Number Theory Workshop at Waseda University   14 Mar 2018
On a certain class of linear relations among the multiple zeta values
Minoru Hirose
The 11th Young Mathematicians Conference on Zeta Functions   21 Feb 2018
Iterated integrals and symmetrized multiple zeta values
Minoru Hirose
MZV Days at HIM   30 Jan 2018
Confluence relations of multiple zeta values
Minoru Hirose
HIM Workshop "Periods and Regulators"   19 Jan 2018
On the Charlton's conjecture and its generalization for multiple zeta values
Minoru Hirose
38th Kansai Multiple Zeta Seminar   9 Dec 2017
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   22 Nov 2017
A generalized cyclic sum formula for iterated integrals
Minoru Hirose
Polylogs, multiple zetas, and related topics   11 Nov 2017
On the Charlton's conjecture and its generalization for multiple zeta values
Minoru Hirose
Kyushu University Algebra Seminar   20 Oct 2017
Minoru Hirose
Regulators in Niseko 2017   5 Sep 2017
On certain identities among the multiple zeta values
Minoru Hirose
11th Hukuoka Number Theory Workshop   10 Aug 2017
On Gross’s refined class number formula and enhanced Stickelberger elements
Minoru Hirose
16th Hiroshima-Sendai Number Theory Workshop   12 Jul 2017
On the Gross’s refined class number formula
Minoru Hirose
P-adic Arithmetic Geometry and Related Topics” Seminar   25 Apr 2017
A certain combinatorial module inspired by the Goncharov coproduct
Minoru Hirose
Various Aspects of Multiple Zeta Values   12 Jul 2016
Shintani zeta functions and Gross conjecture
Minoru Hirose
Algebraic Number Theory and Related Topics   30 Nov 2015
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   Nov 2015
On a refinement of Rubin-Stark conjecture
Minoru Hirose
Number Theory Seminar   19 Jun 2015
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   15 May 2015
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   19 Nov 2014
On the normalized Shintani L-functions and Hecke L-functions of totally real fields
Minoru Hirose
Kobe University Algebraic Seminar   23 Oct 2014
On the theory of fans and its application to Shintani L-function and Hecke L-function
Minoru Hirose
Number Theory Workshop at Waseda University   13 Mar 2014
On the normalized Shintani L-function and Hecke L-function of totally real ﬁelds
Minoru Hirose
RIMS conference　"Automorphic Forms and Related Zeta Functions"   20 Jan 2014
On a construction of Hecke L-function by normalized Shintani L-functions
Minoru Hirose
Number Theory Seminar   25 Oct 2013
On the Shintani L-function 2
Minoru Hirose
27th Automorphic Forms Workshop   12 Mar 2013
On the Shintani L-function 2
Minoru Hirose
6th Multiple Zeta Values Workshop   23 Feb 2013
On the functional equation of the Shintani L-function
Nobuo Sato, Minoru Hirose
RIMS Conference Automorphic forms and automorphic L-functions   18 Jan 2012