Identities inspired by the Ramanujan Notebooks, second series
Number Theory
2011-03-16 v5
Abstract
A series of formula is presented that are all inspired by the Ramanujan Notebooks [6]. One of them appears in the notebooks II about Zeta(3). That formula inspired others that appeared in 1998, 2006 and 2009 on the author's website and later in literature [1][2][3]. New formulas for {\pi} and the Catalan constant are presented and a surprising series of approximations. A new set of identities is given for Eisenstein series. All of the formulas are conjectural since they were found experimentally. A new method for the computation of p(n) is presented.
Cite
@article{arxiv.1101.6066,
title = {Identities inspired by the Ramanujan Notebooks, second series},
author = {Simon Plouffe},
journal= {arXiv preprint arXiv:1101.6066},
year = {2011}
}
Comments
a collection of formulas found in 2006-2011