We characterize the Stirling numbers of the second kind S(n, k) modulo prime powers in terms of binomial coefficients. Our results are surprisingly simple when k is a multiple of the modulus
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe Stirling numbers of the second kind, or...
AbstractIn this paper we give a combinatorial interpretation of two classes of generalized Stirling ...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
AbstractIn this paper we calculate which prime powers ps divide Δn, m = g.c.d.{k! S(n, k)|m ≤ k ≤ n}...
We analyze congruence classes of S(n,k), the Stirling numbers of the second kind, modulo powers of 2...
We analyze congruence classes of S(n,k), the Stirling numbers of the second kind, modulo powers of 2...
The fact that Stirling Numbers of the Second Kind have arisen in various nonrelated fields, from mic...
Abstract. We analyze properties of the 2-adic valuations of S(n, k), the Stir-ling numbers of the se...
AbstractGiven a group G acting on a set S, Möbius inversion over the lattice of subgroups can be use...
AbstractWe determine rs(n) modulo 2s when s is a prime or a power of 2. For general s, we prove a co...
AbstractWe generalize the Stirling numbers of the first kind s(a, k) to the case where a may be an a...
numbers, and let { } denote Stirling numbers of the second kind. Show that n∑ j=
This article introduces a remarkable class of combinatorial numbers, the Stirling set numbers. They...
This brief report gives seven analogous properties between Stirling numbers of the first kind and bi...
AbstractWe use properties of p-adic integrals and measures to obtain congruences for higher-order Be...
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe Stirling numbers of the second kind, or...
AbstractIn this paper we give a combinatorial interpretation of two classes of generalized Stirling ...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
AbstractIn this paper we calculate which prime powers ps divide Δn, m = g.c.d.{k! S(n, k)|m ≤ k ≤ n}...
We analyze congruence classes of S(n,k), the Stirling numbers of the second kind, modulo powers of 2...
We analyze congruence classes of S(n,k), the Stirling numbers of the second kind, modulo powers of 2...
The fact that Stirling Numbers of the Second Kind have arisen in various nonrelated fields, from mic...
Abstract. We analyze properties of the 2-adic valuations of S(n, k), the Stir-ling numbers of the se...
AbstractGiven a group G acting on a set S, Möbius inversion over the lattice of subgroups can be use...
AbstractWe determine rs(n) modulo 2s when s is a prime or a power of 2. For general s, we prove a co...
AbstractWe generalize the Stirling numbers of the first kind s(a, k) to the case where a may be an a...
numbers, and let { } denote Stirling numbers of the second kind. Show that n∑ j=
This article introduces a remarkable class of combinatorial numbers, the Stirling set numbers. They...
This brief report gives seven analogous properties between Stirling numbers of the first kind and bi...
AbstractWe use properties of p-adic integrals and measures to obtain congruences for higher-order Be...
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe Stirling numbers of the second kind, or...
AbstractIn this paper we give a combinatorial interpretation of two classes of generalized Stirling ...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
Add to ORKG