Alternating series of Apéry-type for the Riemann zeta function
DOI:
https://doi.org/10.11575/cdm.v15i3.62721Abstract
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).
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