AbstractThe degenerate Stirling numbers and degenerate Eulerian polynomials are intimately connected to the arithmetic of generalized factorials. In this article, we show that these numbers and similar sequences may in fact be expressed as p-adic integrals of generalized factorials. As an application of this identification we deduce systems of congruences which are analogues and generalizations of the Kummer congruences for the ordinary Bernoulli numbers
AbstractLet {Bn(x)} denote Bernoulli polynomials. In this paper we generalize Kummer's congruences b...
In this paper, we give some further properties of p-adic q-L-function of two variables, which is rec...
Bernoulli numbers appear as special values of zeta functions at integers and identities relating the...
AbstractThe degenerate Stirling numbers and degenerate Eulerian polynomials are intimately connected...
AbstractWe use properties of p-adic integrals and measures to obtain congruences for higher-order Be...
AbstractWe prove a general symmetric identity involving the degenerate Bernoulli polynomials and sum...
In this paper, we introduce q-analogues of degenerate Catalan numbers and polynomials with the help ...
summary:We use the properties of $p$-adic integrals and measures to obtain general congruences for G...
The aim of this paper is to study the congruence properties of a new sequence, which is closely rela...
AbstractIn Part I, Stirling numbers of both kinds were used to define a binomial (Laurent) series of...
We prove a pair of identities expressing Bernoulli numbers and Bernoulli numbers of the second kind ...
AbstractIn this paper we establish some explicit congruences for Bernoulli polynomials modulo a gene...
AbstractThe main purpose of this paper is to introduce two kinds of generalized Eulerian polynomials...
AbstractMany of the classical theorems for the Bernoulli numbers, particularly those congruences nee...
AbstractStarting with divided differences of binomial coefficients, a class of multivalued polynomia...
AbstractLet {Bn(x)} denote Bernoulli polynomials. In this paper we generalize Kummer's congruences b...
In this paper, we give some further properties of p-adic q-L-function of two variables, which is rec...
Bernoulli numbers appear as special values of zeta functions at integers and identities relating the...
AbstractThe degenerate Stirling numbers and degenerate Eulerian polynomials are intimately connected...
AbstractWe use properties of p-adic integrals and measures to obtain congruences for higher-order Be...
AbstractWe prove a general symmetric identity involving the degenerate Bernoulli polynomials and sum...
In this paper, we introduce q-analogues of degenerate Catalan numbers and polynomials with the help ...
summary:We use the properties of $p$-adic integrals and measures to obtain general congruences for G...
The aim of this paper is to study the congruence properties of a new sequence, which is closely rela...
AbstractIn Part I, Stirling numbers of both kinds were used to define a binomial (Laurent) series of...
We prove a pair of identities expressing Bernoulli numbers and Bernoulli numbers of the second kind ...
AbstractIn this paper we establish some explicit congruences for Bernoulli polynomials modulo a gene...
AbstractThe main purpose of this paper is to introduce two kinds of generalized Eulerian polynomials...
AbstractMany of the classical theorems for the Bernoulli numbers, particularly those congruences nee...
AbstractStarting with divided differences of binomial coefficients, a class of multivalued polynomia...
AbstractLet {Bn(x)} denote Bernoulli polynomials. In this paper we generalize Kummer's congruences b...
In this paper, we give some further properties of p-adic q-L-function of two variables, which is rec...
Bernoulli numbers appear as special values of zeta functions at integers and identities relating the...
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