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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… 
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Related topics

Related topics

16 relations
ABS methodsAlgorithmComputability theoryDiscrete mathematics

Papers overview

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2014
2014
On Hilbert's Tenth Problem
Using an iterated Horner schema for evaluation of diophantine polynomials, we define a partial $\mu$-recursive "decision… 
2011
2011
La percepción del tiempo: influencias en la salud física y mental * The Perception of Time: Influences on Physical and Mental Health
Tomando el concepto percepcion del tiempo en sentido amplio, en el pre -sente articulo, se agruparon en perfiles las dimensiones… 
Review
2008
Review
2008
Decision problems in algebra and analogues of Hilbert's Tenth Problem.
Introduction One of the first tasks undertaken by Model Theory was to produce elimination results, for example methods of… 
2007
2007
Elliptic Curves and Hilbert's Tenth Problem
Following ideas of Poonen, we use elliptic divisibility sequences to construct two subrings of the field of rational numbers… 
Highly Cited
2004
Highly Cited
2004
Mixed ion transfer in redox processes of poly(3,4-ethylenedioxythiophene)
2003
2003
On the bounded version of Hilbert's tenth problem
Abstract. The paper establishes lower bounds on the provability of 𝒟=NP and the MRDP theorem in weak fragments of arithmetic… 
2003
2003
Numerical simulations of a quantum algorithm for Hilbert's tenth problem
  • T. Kieu
  • SPIE Defense + Commercial Sensing
  • 2003
  • Corpus ID: 2212177
We employ quantum mechanical principles in the computability exploration of the class of classically noncomputable Hilbert's… 
1999
1999
Calculating Well Deliverability in Gas Condensate Reservoirs
Well deliverability in most gas condensate reservoirs is reduced by condensate banking when the well bottom hole pressure falls… 
1996
1996
Performance analysis of fast projections of the Hung-Turner type for adaptive beamforming
1958
1958
Reductions of Hilbert's tenth problem
Hilbert's tenth problem is to find an algorithm for determining whether or not a diophantine equation possesses solutions. A… 
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