Hurwitz's theorem (number theory)
id:
hurwitz-s-theorem-number-theory-269-7517958
title:
Hurwitz's theorem (number theory)
text:
In number theory, Hurwitz's theorem, named after Adolf Hurwitz, gives a bound on a Diophantine approximation. The theorem states that for every irrational number ξ there are infinitely many relatively prime integers m, n such that The condition that ξ is irrational cannot be omitted. Moreover the constant 5 is the best possible; if we replace 5 by any number A > 5 and we let ξ = / 2 then there exist only finitely many relatively prime integers m, n such that the formula above holds. The theorem
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem in number theory that gives a bound on a Diophantine approximation
original url:
https://en.wikipedia.org/wiki/Hurwitz%27s_theorem_(number_theory)
date created:
date modified:
2024-04-17T05:34:48Z
main entity:
{"identifier":"Q1630588","url":"https://www.wikidata.org/entity/Q1630588"}
image:
fields total:
13
integrity:
14