Some results on integer solutions of quadratic polynomials in two variables
B. Martin Cerna Magui\~na
TL;DR
This paper presents new theorems based on previous work to find integer solutions of quadratic polynomials in two variables that represent natural numbers.
Contribution
It introduces novel theorems that facilitate solving quadratic Diophantine equations in two variables.
Findings
Derived theorems for integer solutions
Applicable to quadratic polynomials representing natural numbers
Enhanced methods for solving quadratic Diophantine equations
Abstract
We use ideas from our previous work to obtain some theorems that will allow us to obtain the integer solution of a quadratic polynomial in two variables that represents a natural number
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