Mertens conjecture
id:
mertens-conjecture-229-981202
title:
Mertens conjecture
text:
In mathematics, the Mertens conjecture is the statement that the Mertens function M is bounded by ± n. Although now disproven, it had been shown to imply the Riemann hypothesis. It was conjectured by Thomas Joannes Stieltjes, in an 1885 letter to Charles Hermite, and again in print by Franz Mertens (1897), and disproved by Andrew Odlyzko and Herman te Riele (1985).
It is a striking example of a mathematical conjecture proven false despite a large amount of computational evidence in its favor.
brand slug:
wiki
category slug:
encyclopedia
description:
Disproved mathematical conjecture
original url:
https://en.wikipedia.org/wiki/Mertens_conjecture
date created:
2003-11-26T09:37:42Z
date modified:
2024-09-15T09:46:03Z
main entity:
{"identifier":"Q2600201","url":"https://www.wikidata.org/entity/Q2600201"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/b/b1/Congettura_Mertens.png","width":943,"height":771}
fields total:
13
integrity:
16