Hypergeometric functions and elliptic curves
type: Item
instance of: scholarly article
title: Hypergeometric functions and elliptic curves
zbMATH Open document ID: 1193.11057
author: Jeremy Rouse
published in: The Ramanujan Journal
publication date: 2007-01-29T00:00:00Z
review text: In this article, the author suggests a correspondence between hypergeometric functions and Gaussian hypergeometric functions. As evidences of the correspondence, he shows, for elliptic curves \(E\) given in Legendre normal form, the analogy between an expression of the real period of \(E\) in terms of a classical hypergeometric function and an expression of the trace of Frobenius of \(E\) in terms of a Gaussian hypergeometric function.
reviewed by: Noburo Ishii
Mathematics Subject Classification ID: 11G05
Mathematics Subject Classification ID: 33C05
zbMATH DE Number: 5119607
zbMATH Keywords: hypergeometric functions
zbMATH Keywords: elliptic curves
MaRDI profile type: Publication
full work available at URL: s11139-006-0073-3
OpenAlex ID: W2018656254
cites work: Hypergeometric Functions Over Finite Fields
cites work: Q3999066
cites work: Values of Gaussian hypergeometric series
cites work: Q4449110
cites work: On maps with dense orbits and the definition of chaos
DOI: 10.1007/S11139-006-0073-3
description: scientific article; zbMATH DE number 5119607