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Hypergeometric formulas for lattice sums and Mahler measures

Authors
  • Rogers, Mathew D.
Type
Preprint
Publication Date
Dec 28, 2010
Submission Date
Jun 22, 2008
Source
arXiv
License
Yellow
External links

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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