Diophantine Geometry in Space 𝑬𝟐 and 𝑬𝟑 Cover Image

Diophantine Geometry in Space 𝑬𝟐 and 𝑬𝟑
Diophantine Geometry in Space 𝑬𝟐 and 𝑬𝟑

Author(s): Viliam Ďuriš, Timotej Šumný
Subject(s): ICT Information and Communications Technologies
Published by: UIKTEN - Association for Information Communication Technology Education and Science
Keywords: Geometry; Equations, Space; Surface; Solutions

Summary/Abstract: In this paper, we are focusing on solving Diophantine equations with geometry. Integers that are solutions of Diophantine equations are represented in space by a lattice. We will use the fact that equations can be interpreted geometrically as curves or surfaces. To determine the properties of the solutions, we will use tangents (of the surface).

  • Issue Year: 8/2019
  • Issue No: 1
  • Page Range: 78-81
  • Page Count: 4
  • Language: English