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SYSTEMS OF LINEAR DIOPHANTINE EQUATIONS AND DIS-EQUATIONS COMPLEXITY [PDF]

open access: yes, 2015
Series of problems concerning systems of linear Diophantine equations and dis-equations with explicitly given parameters are offered below. For every problem from a series the conditions upon the parameters under which the problem is NP-complete are ...
Nikolay N Kosovskii, Nikolay K Kosovskii
core  

On prime powers in linear recurrence sequences. [PDF]

open access: yesAnn Math Quebec, 2023
Odjoumani J, Ziegler V.
europepmc   +1 more source

Systems of linear diophantine equations

open access: yes, 1995
This thesis provides an algorithm for finding the general solutions of a given system of linear Diophantine equations. A linear Diophantine equation is a polynomial equation (in any number of unknowns) with degree one and whose solutions in integers are ...
Alvarade, Ulysses R., Tizon, Edwin E.
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Computing all integer solutions of a genus 1 equation [PDF]

open access: yes
The Elliptic Logarithm Method has been applied with great successto the problem of computing all integer solutions of equations ofdegree 3 and 4 defining elliptic curves. We extend this methodto include any equation f(u,v)=0 that defines a curve of genus
Stroeker, R.J., Tzanakis, N.
core  

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