Treffer: Kummer congruence for the Bernoulli numbers of higher order

Title:
Kummer congruence for the Bernoulli numbers of higher order
Authors:
Taekyun Kim, Dal-Won Park, Lee-Chae Jang
Source:
Applied Mathematics and Computation. 151:589-593
Publisher Information:
Elsevier BV, 2004.
Publication Year:
2004
Subject Terms:
Bernoulli numbers of higher order, Volkenborn integral, Kummer congruence, 0101 mathematics, Bernoulli and Euler numbers and polynomials, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), 01 natural sciences
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
0096-3003
DOI:
10.1016/s0096-3003(03)00314-x
Access URL:
https://zbmath.org/2081711
https://doi.org/10.1016/s0096-3003(03)00314-x
https://www.sciencedirect.com/science/article/pii/S009630030300314X
https://dblp.uni-trier.de/db/journals/amc/amc151.html#JangKP04
Rights:
Elsevier TDM
Accession Number:
edsair.doi.dedup.....c1c4e4324ecaebcdc8a9f63210641eb3
Database:
OpenAIRE

Weitere Informationen

The higher order generalized Bernoulli numbers and their \(q\)-analogs were introduced by \textit{T. Kim} and \textit{S. Rim} [Indian J. Pure Appl. Math. 32, No. 10, 1565--1570 (2001; Zbl 1042.11011)], and also by \textit{Y. Jang} and \textit{D. S. Kim} [Appl. Math. Comput. 137, No. 2--3, 387--398 (2003; Zbl 1050.11019)]. In the present paper, Kummer type congruences for these numbers are proved. The technique is based on the Volkenborn non-Archimedean integration theory.