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# 広瀬稔

更新日: 19/07/18 11:45

研究者氏名 広瀬稔 ヒロセミノル 九州大学大学院 学術振興会特別研究員（PD）

2018年4月
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2017年4月
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2018年3月

2015年4月
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2017年3月

2014年11月
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2015年3月

2014年4月
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2014年10月

## 論文

Minoru Hirose
Journal of Number Theory   200 132-153   2019年7月   [査読有り]
Minoru Hirose, Nobuo Sato
Advances in Mathematics   348 163-182   2019年5月   [査読有り]
Minoru Hirose, Kohei Iwaki, Nobuo Sato, Koji Tasaka
Journal of Number Theory   195 72-83   2019年2月   [査読有り]
International Journal of Number Theory   15(1) 167-171   2019年2月   [査読有り]
Minoru Hirose, Hideki Murahara, Shingo Saito
Proceedings of the American Mathematical Society   147 3357-3366   2019年4月   [査読有り]
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年   [査読有り]
M. Hirose, N. Sato
Mathematische Zeitschrift   280(3) 1085-1092   2015年8月   [査読有り]
M. Hirose, N. Sato, K. Tasaka
The Ramanujan Journal   38(3) 455-463   2015年12月   [査読有り]
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...

Proceedings of the Japan Academy, Series A, Mathematical Sciences   87(1) 13-15   2011年   [査読有り]
An interpolation of Ohno's relation to complex functions
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
MATHEMATICA SCANDINAVICA

## Misc

Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
2019年3月
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
2018年8月
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
2018年8月
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
2018年7月
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
2018年6月
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
2018年7月
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
2018年6月
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
2018年1月
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
2018年1月
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
2017年4月
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
2017年4月
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
2016年8月
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
2016年2月
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
2013年10月
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
2013年12月
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...

## 講演・口頭発表等

Multiple zeta values and modular forms for certain congruence subgroups

Multiple zeta values and iterated integrals

Iterated Integrals and Refinements of Symmetric Multiple Zeta Values
Minoru Hirose
Taiwan-Japan Joint Workshop on Multiple Zeta Values   2018年8月2日
Generalization of Zagier's 2-3-2 formula of multiple zeta values

Block shuffle identity for multiple zeta values

2018早稲田整数論研究集会   2018年3月14日
On a certain class of linear relations among the multiple zeta values

Iterated integrals and symmetrized multiple zeta values
Minoru Hirose
MZV Days at HIM   2018年1月30日
Confluence relations of multiple zeta values
Minoru Hirose
HIM Workshop "Periods and Regulators"   2018年1月19日
On the Charlton's conjecture and its generalization for multiple zeta values

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

3rd Japanese-German Number Theory Workshop   2017年11月22日
A generalized cyclic sum formula for iterated integrals

Polylogs, multiple zetas, and related topics   2017年11月11日
On the Charlton's conjecture and its generalization for multiple zeta values

Regulators in Niseko 2017   2017年9月5日
On certain identities among the multiple zeta values

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

Grossの精密類数公式について

「p進数論幾何とその周辺」セミナー   2017年4月25日
A certain combinatorial module inspired by the Goncharov coproduct
Minoru Hirose

ルビン・スターク予想の精密化について

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

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

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

RIMS研究集会「保型形式および関連するゼータ関数の研究」   2014年1月20日

On the Shintani L-function 2

27th Automorphic Forms Workshop   2013年3月12日

RIMS研究集会「保型形式と保型的L函 数の研究」   2012年1月18日