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Sums of Products of Kronecker's Double Series

Preprint Series # 804
Machide, Tomoya Sums of Products of Kronecker's Double Series. (2006);

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Abstract

Closed expressions are obtained for sums of products of Kronecker's double series. 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.

Item Type:Preprint
Additional Information:15 copies, please. My recommender is Youichi Shibukawa.
Uncontrolled Keywords:Bernoulli numbers, Bernoulli polynomials, Euler numbers, Euler polynomials, Sums of products
Subjects:11-xx NUMBER THEORY
ID Code:1619