Kummer congruence for the Bernoulli numbers of higher order

DOI10.1016/S0096-3003(03)00314-XzbMath1051.11016OpenAlexW2064256906MaRDI QIDQ1826671

Taekyun Kim, Dal-Won Park, Lee-Chae Jang

Publication date: 6 August 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00314-x

zbMATH Keywords

Kummer congruenceVolkenborn integralBernoulli numbers of higher order

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)

Related Items (4)

Unnamed Item ⋮ Multiple \(p\)-adic \(L\)-function ⋮ A note on the multiple twisted Carlitz's type \(q\)-Bernoulli polynomials ⋮ Multiple two-variable \(p\)-adic \(q\)-\(L\)-function and its behavior at \(s=0\)

Cites Work

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• On higher order generalized Bernoulli numbers.
• On a multidimensional Volkenborn integral and higher order Bernoulli numbers
• A note onq-multiple zeta functions
• Sums of products of \(q\)-Bernoulli numbers

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