Irrationality of values of zeta-function

Details Irrationality of values of zeta-function Irrationality of values of zeta-function

2001-04-26

arxiv.org/abs/math/0104249v1

Contemp. Research in Math. and Mech., Proc. 23rd Young Scientists' Conference (Moscow State University, April 9--14, 2001), Mo

Mathematics

Number Theory

8+8 pages (English+Russian); to appear in the Proceedings of the Conference of Young Scientists (Moscow University, April 9-14

Scientific paper

We present several results on the number of irrational and linear independent
values among $\zeta(s),\zeta(s+2),...,\zeta(s+2n)$, 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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