Élie Mosaki

Affiliation: University of Lyon I

Email: mosaki@math.univ-lyon1.fr

Title Of Talk: On the arithmetical nature of a q-analog of the Riemann zeta function at odd integers

Abstract: I will report on a recent joint work with Fr\'ed\'eric Jouhet concerning the arithmetical nature of a q-analog of the Riemann zeta function at odd integers. The main result states that for $1/q$ lying in $Z \ \{-1, 1\}$ there is at least one irrational among the numbers $\zeta_q(3)$, $\zeta_q(5)$, $\zeta_q(7)$ and $\zeta_q(9)$. This improves a recent result obtained by Krattenthaler, Rivoal and Zudilin.

Last update made Mon Mar 3 22:12:23 EST 2008.
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