Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595520 | Journal of Number Theory | 2006 | 30 Pages |
Abstract
We provide an explicit formula for the Tornheim double series in terms of integrals involving the Hurwitz zeta function. We also study the limit when the parameters of the Tornheim sum become natural numbers, and show that in that case it can be expressed in terms of definite integrals of triple products of Bernoulli polynomials and the Bernoulli function Ak(q)≔kζ′(1-k,q).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory