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“School of Mathematics”

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Paper   IPM / M / 8873
School of Mathematics
  Title:   Generating function identities for ζ(2n+2), zeta(2n+3) via the WZ method
  Author(s): 
1.  Kh. Hessami Pilehrood
2.  T. Hessamo Pilehrood
  Status:   Published
  Journal: Electron. J. Combin.
  Vol.:  15
  Year:  2008
  Pages:   1-9
  Supported by:  IPM
  Abstract:
Using WZ-pairs we present simpler proofs of Koecher, Leshchiner and Bailey�Borwein- Bradley's identities for generating functions of the sequences {ζ(2n+2)}n ≥ 0 and {ζ(2n+3)}n ≥ 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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