Results 61 to 70 of about 202 (150)
An Extensive Review of the Literature Using the Diophantine Equations to Study Fuzzy Set Theory
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.Every field in mathematics has made significant progress in research with fuzzy sets. Numerous application fields were discovered in both empirical and theoretical investigations, ranging from information technology to medical technology, from the natural sciences to the physical sciences, and from technical education to fine arts education.
K. M. Abirami +4 more
wiley +1 more source
Diophantine Equations in Many Variables [PDF]
, 2014 Let K denote a p-adic field and $F_1,..,F_r \in k[x_1, . . . , x_n]$ be forms with respective degrees $d_1, . . . , d_r$. A contemporary version of a conjecture attributed to E. Artin states that $F_1, . . . , F_r$ have a common non-trivial zero whenever
Dumke, Jan Henrik
core +1 more source
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 +1 more source
Automatic Solving of Cubic Diophantine Equations Inspired by Ramanujan
, 2020 11 pages. Exclusively published in the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger and this arxiv.org .
Ekhad, Shalosh B., Zeilberger, Doron
openaire +2 more sources
Bounds for the Solutions of Cubic Diophantine Equations
, 2004 The original version of this paper did not take into account that there may be solutions (x_0, y_o)in Z X Z of f(x,y) = x^3 + p(y)x + q(y) = 0 even though w_0 = (-3D(y_0))^(1/2) is irrational.
openaire +2 more sources
Mixing Rates of the Geometrical Neutral Lorenz Model. [PDF]
J Stat Phys, 2023 Bruin H, Canales Farías HH.
europepmc +1 more source
Diophant equations and elliptic curves [PDF]
, 2007 Bu tezde, iki özel iki değişkenli ve üçüncü dereceden Diophant denklem sınıfı ele alınmıştır. Bunlar Bachet ve Frey eliptik eğrilerine karşılık gelen Diophant denklemleridir.
Demirci, Musa
core
On the x-coordinates of Pell equations that are sums of two Padovan numbers. [PDF]
Bol Soc Mat Mex, 2021 Ddamulira M.
europepmc +1 more source
Thue equations and related topics [PDF]
, 2008 Using a classical result of Thue, we give an upper bound for the number of solutions to a family of quartic Thue equations. We also give an upper bound upon the number of solutions to a family of quartic Thue inequalities.
Akhtari, Shabnam
core
Алгоритмическая реализация метода Рунге для кубических диофантовых уравнений [PDF]
, 2020 In this paper we propose an algorithmic implementation of the elementary version of Runge’s method for solving cubic diophantine equations with two unknowns.
Osipov, Nikolay N. +3 more
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