Irrationality of values of zeta-function
Wadim Zudilin
Abstract
We present several results on the number of irrational and linear independent values among ζ(s),ζ(s+2),...,ζ(s+2n), where s>2 is an odd integer and n>0 is an integer. The main tool in our proofs is a certain generalization of Rivoal's construction (math.NT/0008051, math.NT/0104221).
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