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arXiv · 0801.1591

Generating function identities for $ζ(2n+2), ζ(2n+3)$ via the WZ method

Kh. Hessami Pilehrood·T. Hessami Pilehrood
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Abstract

Using the WZ method we present simpler proofs of Koecher's, Leshchiner's and Bailey-Borwein-Bradley's identities for generating functions of the sequences $\{ζ(2n+2)\}_{n\ge 0}, \{ζ(2n+3)\}_{n\ge 0}.$ By the same method we give several new representations for these generating functions yielding faster convergent series for values of the Riemann zeta function.

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Kh. Hessami Pilehrood, T. Hessami Pilehrood. 2008-01-17. Generating function identities for $ζ(2n+2), ζ(2n+3)$ via the WZ method. https://arxiv.org/abs/0801.1591

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