Add to ORKGAbstract. We analyze properties of the 2-adic valuations of S(n, k), the Stir-ling numbers of the second kind. A conjecture that describes patterns of these valuations for fixed k and n modulo powers of 2 is presented. The conjecture is established for k = 5. 1
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 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...
Abstract Lengyel introduced a sequence of numbers Z n , defined combinatorially, that satisfy a recu...
We prove that for any k = 1,... , 2n the 2-adic order of the Stirling number S(2n, k) of the second ...
We characterize the Stirling numbers of the second kind S(n, k) modulo prime powers in terms of bino...
We prove that for any k = 1, . . . , 2n the 2-adic order of the Stirling number S(2n, k) of the seco...
Let n and k be natural numbers and let S(n,k) denote the Stirling numbers of the second kind. It is ...
We prove that for any k = 1,..., 2n the 2-adic order of the Stirling number S(2n, k) of the second k...
Abstract—We analyze some 2-adic properties of the sequence defined by the recurrence Z(1) = 1; Z(n) ...
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...
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 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...
Abstract Lengyel introduced a sequence of numbers Z n , defined combinatorially, that satisfy a recu...
We prove that for any k = 1,... , 2n the 2-adic order of the Stirling number S(2n, k) of the second ...
We characterize the Stirling numbers of the second kind S(n, k) modulo prime powers in terms of bino...
We prove that for any k = 1, . . . , 2n the 2-adic order of the Stirling number S(2n, k) of the seco...
Let n and k be natural numbers and let S(n,k) denote the Stirling numbers of the second kind. It is ...
We prove that for any k = 1,..., 2n the 2-adic order of the Stirling number S(2n, k) of the second k...
Abstract—We analyze some 2-adic properties of the sequence defined by the recurrence Z(1) = 1; Z(n) ...
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...
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...