Add to ORKGWe prove that for any k = 1, . . . , 2n the 2-adic order of the Stirling number S(2n, k) of the second kind is exactly d(k) − 1, where d(k) denotes the number of 1’s among the binary digits of k. This confirms a conjecture of Lengyel.status: publishe
For all integers n≥k≥1, define H(n,k):=∑1/(i1⋯ik), where the sum is extended over all positive integ...
For all integers n≥k≥1, define H(n,k):=∑1/(i1⋯ik), where the sum is extended over all positive integ...
For all integers n≥k≥1, define H(n,k):=∑1/(i1⋯ik), where the sum is extended over all positive integ...
We prove that for any k = 1,... , 2n the 2-adic order of the Stirling number S(2n, k) of the second ...
We prove that for any k = 1,..., 2n the 2-adic order of the Stirling number S(2n, k) of the second k...
Abstract Lengyel introduced a sequence of numbers Z n , defined combinatorially, that satisfy a recu...
Abstract—We analyze some 2-adic properties of the sequence defined by the recurrence Z(1) = 1; Z(n) ...
Abstract. We analyze properties of the 2-adic valuations of S(n, k), the Stir-ling numbers of the se...
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...
AbstractLet S(n,k) denote the Stirling number of the second kind, and let Kn be such that S(n,Kn−1)<...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractWe prove a version of Hensel′s Lemma which applies to analytic functions on the p-adic integ...
AbstractWe prove a version of Hensel′s Lemma which applies to analytic functions on the p-adic integ...
For all integers n≥k≥1, define H(n,k):=∑1/(i1⋯ik), where the sum is extended over all positive integ...
For all integers n≥k≥1, define H(n,k):=∑1/(i1⋯ik), where the sum is extended over all positive integ...
For all integers n≥k≥1, define H(n,k):=∑1/(i1⋯ik), where the sum is extended over all positive integ...
For all integers n≥k≥1, define H(n,k):=∑1/(i1⋯ik), where the sum is extended over all positive integ...
We prove that for any k = 1,... , 2n the 2-adic order of the Stirling number S(2n, k) of the second ...
We prove that for any k = 1,..., 2n the 2-adic order of the Stirling number S(2n, k) of the second k...
Abstract Lengyel introduced a sequence of numbers Z n , defined combinatorially, that satisfy a recu...
Abstract—We analyze some 2-adic properties of the sequence defined by the recurrence Z(1) = 1; Z(n) ...
Abstract. We analyze properties of the 2-adic valuations of S(n, k), the Stir-ling numbers of the se...
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...
AbstractLet S(n,k) denote the Stirling number of the second kind, and let Kn be such that S(n,Kn−1)<...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractWe prove a version of Hensel′s Lemma which applies to analytic functions on the p-adic integ...
AbstractWe prove a version of Hensel′s Lemma which applies to analytic functions on the p-adic integ...
For all integers n≥k≥1, define H(n,k):=∑1/(i1⋯ik), where the sum is extended over all positive integ...
For all integers n≥k≥1, define H(n,k):=∑1/(i1⋯ik), where the sum is extended over all positive integ...
For all integers n≥k≥1, define H(n,k):=∑1/(i1⋯ik), where the sum is extended over all positive integ...
For all integers n≥k≥1, define H(n,k):=∑1/(i1⋯ik), where the sum is extended over all positive integ...