On a \(p\)-adic interpolation of the generalized Euler numbers and its applications

DOI10.3836/tjm/1270134514zbMath0641.12007OpenAlexW2016791790MaRDI QIDQ1100511

Hirofumi Tsumura

Publication date: 1987

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270134514

zbMATH Keywords

Euler numbersp-adic interpolationp-adic L-functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and (L)-functions (11S40)

Related Items (14)

q-Bernstein polynomials related to q-Frobenius-Euler polynomials, l-functions, and q-Stirling numbers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(q\)-analogue of Riemann's \(\zeta\)-function and \(q\)-Euler numbers ⋮ Congruences for Bernoulli, Euler, and Stirling numbers ⋮ Generating functions for \(q\)-Apostol type Frobenius-Euler numbers and polynomials ⋮ Polylogarithmic zeta functions and their p-adic analogues ⋮ On the behavior of two variable twisted \(p\)-adic Euler \(q\)-\(l\)-functions ⋮ A note on \(q\)-analogues of the Dirichlet series and \(q\)-Bernoulli numbers ⋮ Multiple Dedekind sums attached to Dirichlet characters ⋮ \(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers ⋮ On interpolation functions of the generalized twisted \((h,q)\)-Euler polynomials ⋮ Unnamed Item ⋮ On some congruences for the Bell numbers and for the Stirling numbers

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