# Erik Bergström Björlund: Diofantiska ekvationer

## Bachelor thesis presentation

Time: Tue 2022-08-23 12.00 - 13.00

Location: Albano, House 1, Room T

Doctoral student: Erik Bergström Björlund

Abstract:

A diophantine equation is an equation where only integer solutions are sought after. The pythagorean equation, $$x ^2 + y^ 2 = z^ 2$$, is a type of diophantine equation where we can find three integers x, y, z that solves the equation. These numbers are called pythagorean triples. An example of a diphantine equation is the Pell equation, $$x ^2−ny^2 = 1$$. The equation has a special connection to the irrational number $$\sqrt{2}$$, and we will also find a method for generating an infinite number of solutions to the equation.