Hypergeometric formulas for lattice sums and Mahler measures
Rogers, Mathew D.
arXiv, 0806.3590 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2008-06-22
Classification:  Mathematics - Number Theory,  33C20, 33C05, 11M41 
@article{0806.3590,
     author = {Rogers, Mathew D.},
     title = {Hypergeometric formulas for lattice sums and Mahler measures},
     journal = {arXiv},
     volume = {2008},
     number = {0},
     year = {2008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0806.3590}
}

Rogers, Mathew D. Hypergeometric formulas for lattice sums and Mahler measures. arXiv, Tome 2008 (2008) no. 0, . http://gdmltest.u-ga.fr/item/0806.3590/