Title: On higher order generalized Bernoulli numbers
Abstract: In this paper, we define higher order generalized Bernoulli numbers in order to give the values of a series attached to Dirichlet character at non-positive integers, and investigate the arithmetic properties of them. In particular, we obtain Euler summation formula involving higher order generalized Bernoulli numbers. Also, in the p-adic cyclotomic field, we construct Witt’s type formula involving higher order generalized Bernoulli numbers.
Publication Year: 2003
Publication Date: 2003-05-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 4
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot