Article ID Journal Published Year Pages File Type
4594999 Journal of Number Theory 2008 15 Pages PDF
Abstract

Closed expressions are obtained for sums of products of Kronecker's double series of the form , where the summation ranges over all nonnegative integers j1,…,jN with j1+⋯+jN=n. Corresponding results are derived for functions which are an elliptic analogue of the periodic Euler polynomials. As corollaries, we reproduce the formulas for sums of products of Bernoulli numbers, Bernoulli polynomials, Euler numbers, and Euler polynomials, which were given by K. Dilcher.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory