Quantum groups and zeta-functions

Abstract

A $q$-analogue of the Hurwitz zeta-function is introduced through considerations on the spectral zeta-function of quantum group $S{U}_q(2)$, and its analytic aspects are studied via the Euler-MacLaurin summation formula. Asymptotic formulas of some relevant $q$-functions are discussed.

12 pages

Cited by in corpus (8)

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• Quantum group symmetry and discrete scale invariance: Spectral aspects
• A variation of Euler's approach to values of the Riemann zeta function
• Connection formulas for the confluent hypergeometric functions and the functional relation for the Hurwitz zeta function