Explicit Formula for Sums Related to the Generalized Bernoulli Numbers
Author:
Brahim Mittou
Брахим Митту
Date:
2023-02Journal Name:
Журнал Сибирского федерального университета. Математика и физика. Journal of Siberian Federal University. Mathematics & Physics 2023 16 (1)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. Пусть — характер Дирихле по модулю простого числа p > 3, а Bm( ) (m = 1; 2; : : :)
— обобщенные числа Бернулли, связанные с . Явные формулы для сумм:
Σ
mod p
(1)=+1; ̸= 0
Bm( )Bn( ) и
Σ
mod p
(1)=1
Bm( )Bn( )
приведены в этой статье
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