Hermite's formulas for \(q\)-analogues of Hurwitz zeta functions

DOI10.7169/facm/1323705819zbMath1268.11128OpenAlexW1969841724MaRDI QIDQ651804

Yoshinobu Tomita

Publication date: 19 December 2011

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1323705819

zbMATH Keywords

Hurwitz zeta functionRiemann zeta function\(q\)-seriesclassical limitmultiple gamma function

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Other Dirichlet series and zeta functions (11M41) Hurwitz and Lerch zeta functions (11M35)

Related Items (3)

Some results on \(q\)-harmonic number sums ⋮ On \(q\)-analogues of quadratic Euler sums ⋮ Some evaluation of \(q\)-analogues of Euler sums

Cites Work

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• Gamma and sine functions for Lie groups and period integrals
• Integral representations of \(q\)-analogues of the Hurwitz zeta function
• PERIOD DEFORMATIONS AND RAABE'S FORMULAS FOR GENERALIZED GAMMA AND SINE FUNCTIONS
• On 𝑞-analogues of the Euler constant and Lerch’s limit formula
• A VARIATION OF EULER′S APPROACH TO VALUES OF THE RIEMANN ZETA FUNCTION
• Vanishing of the integral of the Hurwitz zeta Function
• On modification of the q-L-series and its applications
• q-Analogues of the Riemann zeta, the Dirichlet L-functions, and a crystal zeta function

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