𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the evaluation of Tornheim sums and allied double sums

✍ 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.


πŸ“œ SIMILAR VOLUMES


The evaluation of Tornheim double sums,
✍ Olivier Espinosa; Victor H. Moll πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 281 KB

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

Evaluation of the convolution sums and
✍ Şaban Alaca; Kenneth S. Williams πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 165 KB

The sums (l,m)∈N 2 ,l+6m=n Οƒ (l)Οƒ (m) and (l,m)∈N 2 ,2l+3m=n Οƒ (l)Οƒ (m) are evaluated for all n ∈ N, and their evaluations used to determine the number of representations of a positive integer n by the form

On the Evaluation of Weil Sums of Dembow
✍ Donald Mills πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 117 KB

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