MULTIPLE ZETA FUNCTIONS OF KANEKO-TSUMURA TYPE AND THEIR VALUES AT POSITIVE INTEGERS

DOI10.2206/kyushujm.76.497OpenAlexW4312245460MaRDI QIDQ5052764

Shuji Yamamoto

Publication date: 25 November 2022

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01978

zbMATH Keywords

multiple zeta valuesKaneko-Tsumura multiple zeta function

Mathematics Subject Classification ID

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

Related Items (3)

Parametric Arakawa-Kaneko zeta function and Kaneko-Tsumura \(\eta \)-function ⋮ On Arakawa-Kaneko zeta-functions associated with \(\mathrm{GL}_2(\mathbb{C})\) and their functional relations ⋮ A note on Arakawa-Kaneko zeta values and Kaneko-Tsumura \(\eta\)-values

Cites Work

• Analytic continuation of multi-variable Arakawa-Kaneko zeta function for positive indices and its values at positive integers
• AN INTEGRAL REPRESENTATION OF MULTIPLE HURWITZ-LERCH ZETA FUNCTIONS AND GENERALIZED MULTIPLE BERNOULLI NUMBERS
• MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS
• Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
• Multiple zeta values, poly-Bernoulli numbers, and related zeta functions

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