Hilbert's tenth problem
id:
hilbert-s-tenth-problem-288-16321274
title:
Hilbert's tenth problem
text:
Hilbert's tenth problem is the tenth on the list of mathematical problems that the German mathematician David Hilbert posed in 1900. It is the challenge to provide a general algorithm that, for any given Diophantine equation, can decide whether the equation has a solution with all unknowns taking integer values. For example, the Diophantine equation 3 x 2 − 2 x y − y 2 z − 7 = 0 has an integer solution: x = 1 , y = 2 , z = − 2 . By contrast, the Diophantine equation x 2 + y 2 + 1 = 0 has no
brand slug:
wiki
category slug:
encyclopedia
description:
On solvability of Diophantine equations
original url:
https://en.wikipedia.org/wiki/Hilbert%27s_tenth_problem
date created:
date modified:
2024-01-17T16:56:24Z
main entity:
{"identifier":"Q986147","url":"https://www.wikidata.org/entity/Q986147"}
image:
fields total:
13
integrity:
14