$_3F_2$ hypergeometric series and periods of elliptic curves
Number Theory
2012-04-10 v1
Abstract
We express the real period of a family of elliptic curves in terms of classical hypergeometric series. This expression is analogous to a result of Ono which relates the trace of Frobenius of the same family of elliptic curves to a Gaussian hypergeometric series. This analogy provides further evidence of the interplay between classical and Gaussian hypergeometric series.
Keywords
Cite
@article{arxiv.0906.4508,
title = {$_3F_2$ hypergeometric series and periods of elliptic curves},
author = {Dermot McCarthy},
journal= {arXiv preprint arXiv:0906.4508},
year = {2012}
}
Comments
9 pages, to appear in the International Journal of Number Theory