Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi
Classical Analysis and ODEs
2011-08-29 v2 Number Theory
Abstract
We evaluate in closed form, for the first time, certain classes of double series, which are remindful of lattice sums. Elliptic functions, singular moduli, class invariants, and the Rogers--Ramanujan continued fraction play central roles in our evaluations
Keywords
Cite
@article{arxiv.1108.4980,
title = {Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi},
author = {Bruce C. Berndt and George Lamb and Mathew Rogers},
journal= {arXiv preprint arXiv:1108.4980},
year = {2011}
}
Comments
12 pages