Series for $1/\pi$ Using Legendre's Relation

Autor:	Wan, James G.
Rok vydání:	2013
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We present a new method for producing series for $1/\pi$ and other constants using Legendre's relation, starting from a generation function that can be factorised into two elliptic $K$'s; this way we avoid much of modular theory or creative telescoping. Many of our series involve special values of Legendre polynomials; their relationship to the more traditional Ramanujan series is discussed.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1302.5984 Zobrazit plný text záznamu View this record from Arxiv