2024-03-28T19:38:43Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/696122022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Sums of Products of Kronecker's Double SeriesMachide, Tomoyaopen accessBernoulli numbersBernoulli polynomialsEuler numbersEuler polynomialsSums of products410Closed 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.Department of Mathematics, Hokkaido University2006engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83954http://hdl.handle.net/2115/6961210.14943/83954Hokkaido University Preprint Series in Mathematics804118https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69612/1/pre804.pdfapplication/pdf117.07 KB2006