Results 91 to 100 of about 4,224,396 (192)
On the diophantine equation Fn + Fm = 2a
, 2016 In this paper, we find all the solutions of the title Diophantine equation in positive integer variables (n, m, a), where Fk is the kth term of the Fibonacci sequence.
Luca, Florian, Bravo, Jhon J.
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Using the Blankenship Algorithm to Find the General Solution of a Linear Diophantine Equation [PDF]
, 1977 This paper shows that the Blankenship algorithm, originally proposed to find the greatest common divisor of several integers and a solution of the associated linear diophantine equation, can be used to find the general solution of the equation.
Morito, Susumu, Salkin, Harvey M.
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Systems of linear diophantine equations
, 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]
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.
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Solutions to some diophantine equations adapted to a computer program
, 1993 This thesis provides a computer program for the solution of Diophantine equations. The linear Diophantine equation of the form y1c1+y2c2 + yncn = e and the non-linear Diophantine equation x2 + ym = z2n and x2-dy2 = n are considered in this paper.
Mendiola, Maria Lourdes P. +1 more
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On a variant of Pillai's problem involving <i>S</i>-units and Fibonacci numbers. [PDF]
Bol Soc Mat Mex, 2022 Ziegler V.
europepmc +1 more source
On prime powers in linear recurrence sequences. [PDF]
Ann Math Quebec, 2023 Odjoumani J, Ziegler V.
europepmc +1 more source
Finding all S-Diophantine quadruples for a fixed set of primes S. [PDF]
Mon Hefte Math, 2021 Ziegler V.
europepmc +1 more source
Exact Combinatorial Density of States for the Critical 1D Ising Model. [PDF]
Entropy (Basel)Castorene B +3 more
europepmc +1 more source