Irrationality of values of zeta-function

Wadim Zudilin

doi:10.1070/IM2002v066n03ABEH000387

Irrationality of values of zeta-function

Number Theory 2015-06-26 v1 Classical Analysis and ODEs

Authors: Wadim Zudilin

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

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).

Keywords

zeta values and euler sums zeta functions

Cite

@article{arxiv.math/0104249,
  title  = {Irrationality of values of zeta-function},
  author = {Wadim Zudilin},
  journal= {arXiv preprint arXiv:math/0104249},
  year   = {2015}
}

Comments

8+8 pages (English+Russian); to appear in the Proceedings of the Conference of Young Scientists (Moscow University, April 9-14, 2001)

Irrationality of values of zeta-function

Abstract

Keywords

Cite

Comments

Related papers