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arXiv · 0806.3590

Hypergeometric formulas for lattice sums and Mahler measures

Mathew D. Rogers
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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 $L$-series of elliptic curves.

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Mathew D. Rogers. 2010-12-28. Hypergeometric formulas for lattice sums and Mahler measures. https://arxiv.org/abs/0806.3590

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