Diophantine problems for q-zeta values
arXiv:math/0206179 · doi:10.1023/A:1021450231834
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.
6 pages, AmSTeX; to appear in Mat. Zametki [Math. Notes] 72 (2002)