In this paper we derive congruences expressing Bell numbers and derangement numbers in terms of each other modulo any prime
The main purpose of this article is using the elementary methods and the properties of the character...
Fermat’s little theorem is an important property of integers to a prime modulus. Theorem 1.1 (Fermat...
An erratum to this article is available at http://dx.doi.org/10.1007/s11537-006-0601-3The congruence...
In this paper we derive congruences expressing Bell numbers and derangement numbers in terms of each...
In this paper we derive congruences expressing Bell numbers and derangement numbers in terms of each...
AbstractGiven a prime p, we exhibit an integer c such that the Bell numbers Bc+1, Bc+2,…, Bc+p−l are...
In this paper we give some congruences on the r-derangement polynomials (dened below), Lah polynomia...
Some new results on the distribution of recurring sequences in finite fields and the Bell numbers B(...
AbstractThe nth Bell number Bn is the number of ways to partition a set of n elements into nonempty ...
AbstractFor any prime p, the sequence of Bell exponential numbers Bn is shown to have p − 1 consecut...
In this note a result is given and proved concerning binomial expansions modulo prime powers. In the...
We characterize the Stirling numbers of the second kind S(n, k) modulo prime powers in terms of bino...
AbstractBerndt and Yee (Acta Arith. 104 (2002) 297) recently proved congruences for the coefficients...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
AbstractSeveral classical combinatorial quantities—including factorials, Bell numbers, tangent numbe...
The main purpose of this article is using the elementary methods and the properties of the character...
Fermat’s little theorem is an important property of integers to a prime modulus. Theorem 1.1 (Fermat...
An erratum to this article is available at http://dx.doi.org/10.1007/s11537-006-0601-3The congruence...
In this paper we derive congruences expressing Bell numbers and derangement numbers in terms of each...
In this paper we derive congruences expressing Bell numbers and derangement numbers in terms of each...
AbstractGiven a prime p, we exhibit an integer c such that the Bell numbers Bc+1, Bc+2,…, Bc+p−l are...
In this paper we give some congruences on the r-derangement polynomials (dened below), Lah polynomia...
Some new results on the distribution of recurring sequences in finite fields and the Bell numbers B(...
AbstractThe nth Bell number Bn is the number of ways to partition a set of n elements into nonempty ...
AbstractFor any prime p, the sequence of Bell exponential numbers Bn is shown to have p − 1 consecut...
In this note a result is given and proved concerning binomial expansions modulo prime powers. In the...
We characterize the Stirling numbers of the second kind S(n, k) modulo prime powers in terms of bino...
AbstractBerndt and Yee (Acta Arith. 104 (2002) 297) recently proved congruences for the coefficients...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
AbstractSeveral classical combinatorial quantities—including factorials, Bell numbers, tangent numbe...
The main purpose of this article is using the elementary methods and the properties of the character...
Fermat’s little theorem is an important property of integers to a prime modulus. Theorem 1.1 (Fermat...
An erratum to this article is available at http://dx.doi.org/10.1007/s11537-006-0601-3The congruence...