Skip to search formSkip to main content
You are currently offline. Some features of the site may not work correctly.

Hilbert's tenth problem

Known as: Hilbert's 10th problem, Hilberts tenth problem, 10th Hilbert problem 
Hilbert's tenth problem is the tenth on the list of Hilbert's problems of 1900. Its statement is as follows: Given a Diophantine equation with any… Expand
Wikipedia

Related topics

Related topics

16 relations
ABS methodsAlgorithmComputability theoryDiscrete mathematics
Expand

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Hilbert's Tenth Problem in Coq
We formalise the undecidability of solvability of Diophantine equations, i.e. polynomial equations over natural numbers, in Coq's… Expand
2017
2017
The Hilbert’s-Tenth-Problem Operator
For a ring R, Hilbert’s Tenth Problem HTP(R) is the set of polynomial equations over R, in several variables, with solutions in R… Expand
2008
2008
Matrix Equations and Hilbert's Tenth Problem
We show a reduction of Hilbert's tenth problem to the solvability of the matrix equation over non-commuting integral matrices… Expand
Highly Cited
2006
Highly Cited
2006
Hilbert's Tenth Problem: Diophantine Classes and Extensions to Global Fields
1. Introduction 2. Diophantine classes: definition and basic facts 3. Diophantine equivalence and diophantine decidability 4… Expand
Highly Cited
2001
Highly Cited
2001
Quantum Algorithm for Hilbert's Tenth Problem
We explore in the framework of Quantum Computation the notion of Computability, which holds a central position in Mathematics and… Expand
Highly Cited
2000
Highly Cited
2000
Technical Change, Inequality, and the Labor Market
This essay discusses the effect of technical change on wage inequality. I argue that the behavior of wages and returns to… Expand
Highly Cited
2000
Highly Cited
2000
The influence of learning style and training method on self-efficacy and learning performance in WWW homepage design training
The present study compares the relative effects of two training methods on learner's computer self-efficacy and learning… Expand
Highly Cited
1993
Highly Cited
1993
Hilbert's tenth problem
At the 1900 International Congress of Mathematicians, held that year in Paris, the German mathematician David Hilbert put forth a… Expand
Highly Cited
1973
Highly Cited
1973
Hilbert's Tenth Problem is Unsolvable
When a long outstanding problem is finally solved, every mathematician would like to share in the pleasure of discovery by… Expand
1958
1958
Reductions of Hilbert's Tenth Problem
(1) (Eyl)... (Eym)[P(yi, Y2, ** Ymin X1, X2, xn) = 01 where P is a polynomial with integral coefficients (positive, negative, or… Expand
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy, Terms of Service, and Dataset License
ACCEPT & CONTINUE