Essays about: "Diophantine Equations"

Found 3 essays containing the words Diophantine Equations.

1. 1. The Sum of Two Integer Cubes - Restricted

   University essay from Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

   Author : Kenny Jonsson; [2022]
   Keywords : Diophantine equations; lattice points; number theory;

   Abstract : We study the size of sets containing sums of two integer cubes such that their representation is unique and also fit between two consecutive integer cubes. We will try to write algorithms that efficiently calculate the size of these sets and also implement these algorithms in PythonTM. READ MORE

3. 2. Some Nonlinear Diophantine Equations

   University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

   Author : Alexander Koronen; [2017]
   Keywords : Diophantine Equations; Congruences; Euclidean Domains; Mathematics and Statistics;

   Abstract : This thesis deals with some special types of Diophantine equations. Two classic cases of Fermat's equation are shown to have no nontrivial integer solutions, using two different approaches. The rest of the thesis deals with some instances of y^2=x^3+k, commonly known as Mordell's equation. In most cases, no integer solutions exist. READ MORE

4. 3. Solving Linear Diophantine Equations And Linear Congruential Equations

   University essay from Institutionen för datavetenskap, fysik och matematik, DFM

   Author : Deniz Yesilyurt; [2012]
   Keywords : ;

   Abstract : 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. There are many examples which illustrate the methods for solving equations. . READ MORE