Title of article
Alternate Sylvester sums on the Frobenius set
Author/Authors
Weiping Wang، نويسنده , , Tianming Wang، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
7
From page
1328
To page
1334
Abstract
The alternate Sylvester sums are Tm(a,b)=∑n NR(−1)nnm, where a and b are coprime, positive integers, and NR is the Frobenius set associated with a and b. In this note, we study the generating functions, recurrences and explicit expressions of the alternate Sylvester sums. It can be found that the results are closely related to the Bernoulli polynomials, the Euler polynomials, and the (alternate) power sums over the natural numbers.
Keywords
Frobenius problem , Sums of powers of integers , Bernoulli polynomials , Euler polynomials , Combinatorial identities , Alternate Sylvester sums
Journal title
Computers and Mathematics with Applications
Serial Year
2008
Journal title
Computers and Mathematics with Applications
Record number
921013
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