Functiones et Approximatio Commentarii Mathematici

Hermite's formulas for $q$-analogues of Hurwitz zeta functions

Yoshinobu Tomita

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We treat Hermite's formulas for $q$-analogues of the Hurwitz zeta function. As their application, we study the classical limit of modified $q$-analogues of the Hurwitz zeta function. We also treat $q$-analogues of the Milnor multiple gamma function.

Article information

Funct. Approx. Comment. Math., Volume 45, Number 2 (2011), 289-301.

First available in Project Euclid: 12 December 2011

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Zentralblatt MATH identifier

Primary: 11M35: Hurwitz and Lerch zeta functions
Secondary: 11M41: Other Dirichlet series and zeta functions {For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72}

Riemann zeta function Hurwitz zeta function multiple gamma function classical limit $q$-series


Tomita, Yoshinobu. Hermite's formulas for $q$-analogues of Hurwitz zeta functions. Funct. Approx. Comment. Math. 45 (2011), no. 2, 289--301. doi:10.7169/facm/1323705819.

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