\(q\)-Riemann zeta function

DOI10.1155/S0161171204307180zbMath1122.11082OpenAlexW2152112911MaRDI QIDQ1774684

Taekyun Kim

Publication date: 18 May 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53490

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (13)

An analogue of the zeta function and its applications ⋮ On \(p\)-adic twisted \(q\)-\(L\)-functions related to generalized twisted Bernoulli numbers ⋮ Some results on \(q\)-harmonic number sums ⋮ Some \(q\)-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order \(n\), and the multiple Hurwitz zeta function ⋮ Exploring the multiple Changheeq-Bernoulli polynomials ⋮ Bernoulli-Carlitz fractions and \(q\)-zeta operators ⋮ Carlitz's \(q\)-Bernoulli and \(q\)-Euler numbers and polynomials and a class of generalized \(q\)-Hurwitz zeta functions ⋮ On the \(q\)-extension of Apostol-Euler numbers and polynomials ⋮ On some arithmetical properties of the Genocchi numbers and polynomials ⋮ Identities for sums of a \(q\)-analogue of polylogarithm functions ⋮ Interpolation functions of \(q\)-extensions of Apostol's type Euler polynomials ⋮ On interpolation functions of the generalized twisted \((h,q)\)-Euler polynomials ⋮ A note on q-Bernoulli numbers and polynomials

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