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Shortened recurrence relations for generalized Bernoulli numbers and polynomials

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0 Published in 2017 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2016.12.014

Abstract: Abstract It is the main purpose of this paper to study shortened recurrence relations for generalized Bernoulli numbers and polynomials attached to χ, χ being a primitive Dirichlet character, in which some of the preceding… read more here.

Keywords: bernoulli numbers; numbers polynomials; recurrence relations; relations generalized ... See more keywords

A general family of congruences for Bernoulli numbers

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1 Published in 2017 at "International Journal of Number Theory"

DOI: 10.1142/s1793042118501129

Abstract: We prove a general family of congruences for Bernoulli numbers whose index is a polynomial function of a prime, modulo a power of that prime. Our family generalizes many known results, including th... read more here.

Keywords: bernoulli numbers; general family; family; congruences bernoulli ... See more keywords

A study of Möbius-Bernoulli numbers

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0 Published in 2020 at "Applicable Analysis and Discrete Mathematics"

DOI: 10.2298/aadm190223049k

Abstract: Let k be a non-negative integer. We define the M?bius-Bernoulli numbers which is denoted by Mk(n) and double M?bius-Bernoulli numbers Mk(n, n') for some n, n' ? N. In this article, we find formula of… read more here.

Keywords: bius bernoulli; bernoulli numbers; study bius;

A note on degenerate multi-poly-Bernoulli numbers and polynomials

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1 Published in 2022 at "Applicable Analysis and Discrete Mathematics"

DOI: 10.2298/aadm200510005k

Abstract: In this paper, we consider the degenerate multi-poly-Bernoulli numbers and polynomials which are defined by means of the multiple polylogarithms and degenerate versions of the multi-poly-Bernoulli numbers and polynomials. We investigate some properties for those… read more here.

Keywords: numbers polynomials; degenerate multi; poly bernoulli; multi poly ... See more keywords

Some Identities of Ordinary and Degenerate Bernoulli Numbers and Polynomials

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0 Published in 2019 at "Symmetry"

DOI: 10.3390/sym11070847

Abstract: In this paper, we investigate some identities on Bernoulli numbers and polynomials and those on degenerate Bernoulli numbers and polynomials arising from certain p-adic invariant integrals on Z p . In particular, we derive various… read more here.

Keywords: numbers polynomials; bernoulli numbers; identities ordinary; degenerate bernoulli ... See more keywords