“School of Mathematics”
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| Paper IPM / M / 8873 |
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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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