Formulas for Odd Zeta Values and Powers of π
Marc Chamberland and Patrick Lopatto
Department of Mathematics and Statistics
Grinnell College
Grinnell, IA 50112
USA
Abstract:
Plouffe conjectured fast converging series
formulas for π2n+1 and
ζ(2n+1)
for small values of n. We find the general pattern
for all integer values of n and offer a proof.
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Received January 24 2011;
revised version received February 7 2011.
Published in Journal of Integer Sequences, February 20 2011.
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