Ramanujan-type formulae for $1/\pi$: A second wind?
Number Theory
2009-02-24 v2 Classical Analysis and ODEs
Abstract
In 1914 S. Ramanujan recorded a list of 17 series for . We survey the methods of proofs of Ramanujan's formulae and indicate recently discovered generalizations, some of which are not yet proven.
Keywords
Cite
@article{arxiv.0712.1332,
title = {Ramanujan-type formulae for $1/\pi$: A second wind?},
author = {Wadim Zudilin},
journal= {arXiv preprint arXiv:0712.1332},
year = {2009}
}
Comments
13 pages; v2: two typos corrected, references updated, numeration of formulae changed to agree with the published version