Alternating series of Apéry-type for the Riemann zeta function

  • Wenchang Chu

Abstract

By making use of a transformation formula for the nonterminating well-poised $_5F_4$-series, we investigate a class of alternating series of Apéry-type and establish several identities for the Riemann zeta function, including three identities conjectured by Sun (2015).

Published
2020-12-22
Section
Articles