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SYMMETRIC FUNCTIONS AND MULTIPLE ZETA VALUES

Part of: Acceleration of convergence Zeta and $L$-functions: analytic theory Elementary classical functions

Published online by Cambridge University Press:  24 July 2019

WENCHANG CHU Open the ORCID record for WENCHANG CHU [Opens in a new window]
WENCHANG CHU*
Affiliation:
School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou (Henan), P. R. China email chu.wenchang@unisalento.it
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Abstract

Four classes of multiple series, which can be considered as multifold counterparts of four classical summation formulae related to the Riemann zeta series, are evaluated in closed form.

Keywords

Riemann zeta functionelementary symmetric functioncomplete symmetric functionBernoulli numberEuler number

MSC classification

Primary: 11M06: $zeta (s)$ and $L(s, chi)$
Secondary: 33B10: Exponential and trigonometric functions 65B10: Summation of series
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 101 , Issue 3 , June 2020 , pp. 426 - 437
Copyright
© 2019 Australian Mathematical Publishing Association Inc.

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Footnotes

†

Current address: Department of Mathematics and Physics, University of Salento, PO Box 193, 73100 Lecce, Italy

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