Shimura correspondence
id:
shimura-correspondence-296-5294715
title:
Shimura correspondence
text:
In number theory, the Shimura correspondence is a correspondence between modular forms F of half integral weight k+1/2, and modular forms f of even weight 2k, discovered by Goro Shimura (1973). It has the property that the eigenvalue of a Hecke operator Tn2 on F is equal to the eigenvalue of Tn on f. Let f be a holomorphic cusp form with weight / 2 and character χ . For any prime number p, let where ω p 's are the eigenvalues of the Hecke operators T determined by p. Using the functional equatio
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Shimura_correspondence
date created:
date modified:
2024-02-27T21:53:41Z
main entity:
{"identifier":"Q7497061","url":"https://www.wikidata.org/entity/Q7497061"}
image:
fields total:
13
integrity:
13