Diophantine problems for q-zeta values
Number Theory
2007-05-23 v2 Classical Analysis and ODEs
Abstract
A motivated q-extension of the values of the Riemann zeta function at positive integers is presented. Several irrationality and transcendence results as well as new general problems for these q-zeta values are stated.
Cite
@article{arxiv.math/0206179,
title = {Diophantine problems for q-zeta values},
author = {Wadim Zudilin},
journal= {arXiv preprint arXiv:math/0206179},
year = {2007}
}
Comments
6 pages, AmSTeX; to appear in Mat. Zametki [Math. Notes] 72 (2002)