Title
Kummer congruence for the Bernoulli numbers of higher order
Abstract
The authors studied the properties of Bernoulli numbers of higher order [Appl. Math. Comput., in press; Bull. Aust. Math. 65 (2002) 59]. For q =1, we can also find their results [Proc. Jangjeon Math. Soc. 1 (2000) 97; Arch. Math. 76 (2001) 190; Proc. Jangjeon Math. Soc. 1 (2000) 161; Adv. Stud. Contemp. Math. 2 (2000) 9; Proc. Jangjeon Math. Soc. 2 (2001) 23; J. Math. Phys. A 34 (2001) L643; Proc. Jangjeon Math. Soc. 2 (2001) 19; Proc. Jangjeon Math. Soc. 2 (2001) 9; Proc. Jangjeon Math. Soc. 3 (2001) 63]. The authors suggested the question to inquire the proof of Kummer congruence for Bernoulli numbers of higher order [Appl. Math. Comput., in press]. In this paper we give a proof of Kummer type congruence for the Bernoulli numbers of higher order, which is an answer to a part of the question in [Appl. Math. Comput., in press].
Year
DOI
Venue
2004
10.1016/S0096-3003(03)00314-X
Applied Mathematics and Computation
Keywords
Field
DocType
bernoulli numbers,higher order,bernoulli number
Mathematical analysis,Pure mathematics,Bernoulli number,Congruence (geometry),Mathematics
Journal
Volume
Issue
ISSN
151
2
Applied Mathematics and Computation
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
Lee-Chae Jang17717.18
Tae-Kyun Kim21987129.30
Dal-Won Park301.35