Hypergeometric Formulas for Lattice Sums and Mahler Measures

M. Rogers
2010 International mathematics research notices  
In this paper, we will prove several formulas relating 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.
doi:10.1093/imrn/rnq240 fatcat:h6rzhha7dneolmylfmsb3wlxq4