Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi

Autor:	Berndt, Bruce C., Lamb, George, Rogers, Mathew
Rok vydání:	2011
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	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 Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1108.4980 Zobrazit plný text záznamu View this record from Arxiv