Selberg's 1/4 conjecture
id:
selberg-s-1-4-conjecture-297-18530048
title:
Selberg's 1/4 conjecture
text:
In mathematics, Selberg's conjecture, also known as Selberg's eigenvalue conjecture, conjectured by Selberg (1965, p. 13), states that the eigenvalues of the Laplace operator on Maass wave forms of congruence subgroups are at least 1/4. Selberg showed that the eigenvalues are at least 3/16. Subsequent works improved the bound, and the best bound currently known is 975/4096≈0.238..., due to Kim & Sarnak (2003). The generalized Ramanujan conjecture for the general linear group implies Selberg's co
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wiki
category slug:
encyclopedia
description:
Mathematical conjecture about eigenvalues
original url:
https://en.wikipedia.org/wiki/Selberg%27s_1/4_conjecture
date created:
date modified:
2023-05-19T03:06:34Z
main entity:
{"identifier":"Q7447522","url":"https://www.wikidata.org/entity/Q7447522"}
image:
fields total:
13
integrity:
14