Hypergeometric formulas for lattice sums and Mahler measures

Details Hypergeometric formulas for lattice sums and Mahler measures Hypergeometric formulas for lattice sums and Mahler measures

2008-06-22

arxiv.org/abs/0806.3590v4

Mathematics

Number Theory

27 pages, typos fixed

Scientific paper

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 $L$-series of elliptic curves.

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