Values at non-positive integers of generalized Euler-Zagier multiple zeta-functions

被引：5

作者：

Essouabri, Driss ^{[1
]}

Matsumoto, Kohji ^{[2
]}

机构：

[1] Univ Lyon, UJM St Etienne, CNRS, Inst Camille Jordan UMR 5208,Fac Sci & Tech, 23 Rue Docteur Paul Michelon, F-42023 St Etienne, France

[2] Nagoya Univ, Grad Sch Math, Chikusa Ku, Furo Cho, Nagoya, Aichi 4648602, Japan

来源：

ACTA ARITHMETICA | 2020年 / 193卷 / 02期

关键词：

multiple zeta-function; Euler-Zagier multiple zeta-functions; special values; meromorphic continuation; Bernoulli numbers; Raabe's lemma; ANALYTIC CONTINUATION; DIRICHLET SERIES;

D O I：

10.4064/aa171120-13-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：109 / 131

页数：23

共 19 条

[1] Multiple zeta values at non-positive integers [J].

Akiyama, S ;

Tanigawa, Y .

RAMANUJAN JOURNAL, 2001, 5 (04) :327-351

[2] Analytic continuation of multiple zeta-functions and their values at non-positive integers [J].

Akiyama, S ;

Egami, S ;

Tanigawa, Y .

ACTA ARITHMETICA, 2001, 98 (02) :107-116

[3]

[Anonymous], 1914, Sur une class des series de Taylor

[4] Singularities of Dirichlet series associated to polynomials of several variables and application to the analytic number theory [J].

Essouabri, D .

ANNALES DE L INSTITUT FOURIER, 1997, 47 (02) :429-&

[5]

Essouabri D., ARXIV190809248

[6]

Essouabri D., 1995, THESIS, P1

[7] Multiple Zeta-Functions Associated with Linear Recurrence Sequences and the Vectorial Sum Formula [J].

Essouabri, Driss ;

Matsumoto, Kohji ;

Tsumura, Hirofumi .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2011, 63 (02) :241-276

[8] Shintani-Barnes zeta and gamma functions [J].

Friedman, E ;

Ruijsenaars, S .

ADVANCES IN MATHEMATICS, 2004, 187 (02) :362-395

[9] SPECIAL VALUES OF DIRICHLET SERIES AND ZETA INTEGRALS [J].

Friedman, Eduardo ;

Pereira, Aldo .

INTERNATIONAL JOURNAL OF NUMBER THEORY, 2012, 8 (03) :697-714

[10] MULTIPLE HARMONIC SERIES [J].

HOFFMAN, ME .

PACIFIC JOURNAL OF MATHEMATICS, 1992, 152 (02) :275-290

← 1 2 →