Sums of products of Kronecker's double series

DOI10.1016/j.jnt.2007.11.010zbMath1189.11022OpenAlexW1976371675MaRDI QIDQ958655

Tomoya Machide

Publication date: 5 December 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/69612

zbMATH Keywords

Eisenstein seriesIdentitiesBernoulli numbersEuler numbersBernoulli polynomialsEuler polynomialsKronecker's double seriesPeriodic Euler polynomialsSpecial values of zeta functionsSums of products

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Dedekind eta function, Dedekind sums (11F20)

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The Jacobi form \(D_L\), theta functions, and Eisenstein series ⋮ Elliptic extensions of the Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Some results on sums of products of Bernoulli polynomials and Euler polynomials ⋮ \(q\)-Genocchi numbers and polynomials associated with fermionic \(p\)-adic invariant integrals on \(\mathbb Z_{p}\) ⋮ An algorithm for computing mixed sums of products of Bernoulli polynomials and Euler polynomials ⋮ Sums of products of hypergeometric Bernoulli numbers

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