Results 101 to 110 of about 1,143,114 (202)
Diophantine Generation Galois Theory and Hilbert's Tenth Problem
, 2012 Hilbert's Tenth Problem was a question concerning existence of an algorithm to determine if there were integer solutions to arbitrary polynomial equations over the integers.
Kennedy, Kendra +1 more
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All solutions of consecutive natural numbers sum equation and their closed forms
Al-JabarPurpose: This study aims to find a closed-form solution for all ordered pairs of natural numbers (?,?) satisfying the consecutive natural number sum equation 1 + 2 + ⋯ + ? sama dengan (? + 1) + (? + 2) + ⋯ + ?. This research contributes to number theory,
Sofihara Al Hazmy +3 more
doaj +1 more source
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
Extremal fixed points and Diophantine equations
Journal of High Energy PhysicsThe coupling constants of fixed points in the ϵ expansion at one loop are known to satisfy a quadratic bound due to Rychkov and Stergiou. We refer to fixed points that saturate this bound as extremal fixed points.
Christopher P. Herzog +3 more
doaj +1 more source
On prime powers in linear recurrence sequences. [PDF]
Ann Math Quebec, 2023 Odjoumani J, Ziegler V.
europepmc +1 more source
Solving Linear Diophantine Equations And Linear Congruential Equations
, 2012 This report represents GCD, euclidean algorithm, linear diophantine equation and linear congruential equation. It investigates the methods for solving linear diophantine equations and linear congruential equations in several variables.
Yesilyurt, Deniz
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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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Configurations of curves on rational surfaces and representations of orthogonal Lie algebras
四川大学学报. 自然科学版, 2017 We study the relation between certain rational surfaces and orthogonal Lie algebras (that is, $D_n$-Lie algebras). We find that a fundamental irreducible representation (whose highest weight is denoted by $\lambda_{n-2}$) is determined by finitely many ...
ZHOU Wei-Bin, ZHANG Jia-Jin
doaj
, 1968 Diophantine equations come in all shapes and sizes. In my paper I will try to give the reader a sufficient sampling of Diophantine equations in order to give him a good idea of what is meant by such an equation.
Kestly, Cathy
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How to Solve Diophantine Equations [PDF]
We present in this article a general approach (in the form of recommendations and guidelines) for tackling Diophantine equation problems (whether single equations or systems of simultaneous equations). The article should be useful in particular to young
Sochi, Taha
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