On multiple analogues of Ramanujan's formulas for certain Dirichlet series

DOI10.5802/jtnb.623zbMath1211.11100OpenAlexW2075096140MaRDI QIDQ1011979

Hirofumi Tsumura

Publication date: 14 April 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2008__20_1_219_0

zbMATH Keywords

multiple zeta values

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• Multiple harmonic series
• Modular transformations and generalizations of several formulae of Ramanujan
• Zeros of Bernoulli, generalized Bernoulli and Euler polynomials
• Generalized Eisenstein series and modified Dedekind sums.
• Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.
• A NEW METHOD OF PRODUCING FUNCTIONAL RELATIONS AMONG MULTIPLE ZETA-FUNCTIONS
• On Ramanujan's formula for values of Riemann zeta-function at positive odd integers
• Generalized Dedekind Eta-Functions and Generalized Dedekind Sums

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