De Bruijn–Newman constant
id:
de-bruijn-newman-constant-205-1820027
title:
De Bruijn–Newman constant
text:
The de Bruijn–Newman constant, denoted by Λ and named after Nicolaas Govert de Bruijn and Charles Michael Newman, is a mathematical constant defined via the zeros of a certain function H, where λ is a real parameter and z is a complex variable. More precisely,
- H := ∫ 0 ∞ e λ u 2 Φ cos d u, where Φ is the super-exponentially decaying function
- Φ = ∑ n = 1 ∞ e − π n 2 e 4 u and Λ is the unique real number with the property that H has only real zeros if and only if λ ≥ Λ. The constant is c
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical constant
original url:
https://en.wikipedia.org/wiki/De_Bruijn%E2%80%93Newman_constant
date created:
2002-03-21T10:39:30Z
date modified:
2024-09-10T08:36:11Z
main entity:
{"identifier":"Q2248459","url":"https://www.wikidata.org/entity/Q2248459"}
image:
fields total:
13
integrity:
15