Hypergeometric formulas for lattice sums and Mahler measures
Number Theory
2010-12-30 v4
Abstract
We prove a variety of explicit formulas relating special values of generalized hypergeometric functions to lattice sums with four indices of summation. These results are related to Boyd's conjectured identities between Mahler measures and special values of -series of elliptic curves.
Cite
@article{arxiv.0806.3590,
title = {Hypergeometric formulas for lattice sums and Mahler measures},
author = {Mathew D. Rogers},
journal= {arXiv preprint arXiv:0806.3590},
year = {2010}
}
Comments
27 pages, typos fixed