\(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers

DOI10.1016/j.jnt.2004.07.003zbMath1114.11019OpenAlexW1971393827MaRDI QIDQ1771016

Yilmaz Simsek

Publication date: 7 April 2005

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.07.003

zbMATH Keywords

\(q\)-Euler numbers\(l_q\)-seriesGeneralized Euler numbersTwisted \(q\)-generalized Euler numbers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other Dirichlet series and zeta functions (11M41)

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Cites Work

• On a \(p\)-adic interpolation of the generalized Euler numbers and its applications
• \(q\)-analogue of Riemann's \(\zeta\)-function and \(q\)-Euler numbers
• On Carlitz's \(q\)-Bernoulli numbers
• A note on \(q\)-analogues of the Dirichlet series and \(q\)-Bernoulli numbers
• A new proof of certain formulas for p-adic L-functions
• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• \(q\)-Bernoulli numbers and polynomials
• A construction of q-analogue of Dedekind sums
• SOME REMARKS ON A q-ANALOGUE OF BERNOULLI NUMBERS
• ON TWISTED GENERALIZED EULER NUMBERS