Title of article
On Kummer-Type Congruences for Derivatives of Barnesʹ Multiple Bernoulli Polynomials Original Research Article
Author/Authors
Kaori Ota، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
36
From page
1
To page
36
Abstract
The theorem of Kummer congruences of Bernoulli numbers says that if p−1does not dividem and m≡n (mod pN(p−1)), thenimage In this paper we generalize these congruences to derivatives of Barnesʹ multiple Bernoulli polynomials by an elementary method and give a p-adic interpretation of them.
Keywords
p-adic interpolation. , Kummer congruence , derivative of Barnes’ multiple Bernoullipolynomial , Barnes’ multiple zeta function
Journal title
Journal of Number Theory
Serial Year
2002
Journal title
Journal of Number Theory
Record number
715271
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