Results 91 to 100 of about 1,224,172 (204)
On the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma =y^n$
, 2012 summary:In this paper, we find all solutions of the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma = y^n$ in positive integers $x,y\geq 1$, $\alpha ,\beta ,\gamma ,n\geq 3$ with $\gcd (x,y)=1$
Godinho, Hemar +2 more
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Homogeneous Diophantine equation of degree two in NP-complete
, 2022 In mathematics, a Diophantine equation is a polynomial equation, usually involving two or more unknowns, such that the only solutions of interest are the integer ones.
Frank Vega
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NOTE ON THE DIOPHANTINE EQUATION [PDF]
, 2000 NOTE ON THE DIOPHANTINE ...
Atanassov, Krassimir +2 more
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An exponential diophantine equation [PDF]
Bulletin of the Australian Mathematical Society, 2001 Let p be an odd prime with p > 3. In this paper we give all positive integer solutions (x, y, m, n) of the equation x2 + p2m = yn, gcd (x, y) = 1, n > 2 satisfying 2 | n of 2 ∤ n and p ≢ (−1)(p−1)/2(mod 4n.
openaire +1 more source
On Diophantine equations involving Lucas sequences
Open Mathematics, 2019 In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
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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.
core
On the Diophantine equation $x^{2}-kxy+y^{2}-2^{n}=0$ [PDF]
, 2013 summary:In this study, we determine when the Diophantine equation $x^{2}-kxy+y^{2}-2^{n}=0$ has an infinite number of positive integer solutions $x$ and $y$ for $0\leq n\leq 10.$ Moreover, we give all positive integer solutions of the same equation for ...
Keskin, Refik +2 more
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Bound on some Diophantine equation
, 2022 Diophantine equation is known as a polynomial equation with two or more unknowns which only integral solutions are sought. This paper will concentrate on finding the least upper bound to the Diophantine equation x 2 + 2a 7 b = y n for 1 ≤ α ≤ 8 and found
Amalulhair, N. H. +2 more
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Positive solutions of the diophantine equation
International Journal of Mathematics and Mathematical Sciences, 1982 Integral solutions of x3+λy+1−xyz=0 are observed for all integral λ. For λ=2 the 13 solutions of the equation in positive integers are determined. Solutions of the equation in positive integers were previously determined for the case λ=1.
W. R. Utz
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From Diophantian Equations to Matrix Equations (Iv) - Diophantian Equations of Higher Degree [PDF]
Educaţia 21In the context of training and developing the skills of teachers, students and children to solve exercises and problems in Mathematics, in this paper we propose to continue the steps started in the first three papers with the same generic title and ...
Teodor Dumitru Vălcan
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