On the evaluation of Tornheim sums and allied double sums
β Scribed by Ankur Basu
- Book ID
- 106511579
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 448 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1382-4090
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 pro
The sums (l,m)βN 2 ,l+6m=n Ο (l)Ο (m) and (l,m)βN 2 ,2l+3m=n Ο (l)Ο (m) are evaluated for all n β N, and their evaluations used to determine the number of representations of a positive integer n by the form
Let F q denote the finite field of q elements, q=p e odd, let q 1 denote the canonical additive character of F q where q 1 (c)=e 2piTr(c)/p for all c Β₯ F q , and let Tr represent the trace function from F q to F p . We are interested in evaluating Weil sums of the form Coulter has determined the va