Journal of Siberian Federal University. Mathematics & Physics / Explicit Formula for Sums Related to the Generalized Bernoulli Numbers

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (1)
Authors
Brahim Mittou
Contact information
Brahim Mittou: Department of Mathematics University Kasdi Merbah Ouargla, Algeria EDPNL & HM Laboratory of ENS Kouba, Algeria; OCRID: 0000-0002-5712-9011
Keywords
character sum; Dirichlet L-function; Bernoulli number; generalized Bernoulli
Abstract

Let be a Dirichlet character modulo a prime number p > 3 and let Bm( ) (m = 1; 2; : : :) be the generalized Bernoulli numbers associated with . Explicit formulas for the sums: Σ mod p (1)=+1; ̸= 0 Bm( )Bn( ) and Σ mod p (1)=1 Bm( )Bn( ) are given in this paper.

Pages
135–141
EDN
TTFTGS
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/149769