Triangles with two given integral sides
Szabolcs Tengely
TL;DR
This paper investigates Diophantine problems involving triangles with two fixed integral sides, solving specific posed problems and offering generalizations to broaden understanding of such geometric configurations.
Contribution
It provides solutions to two open problems related to triangles with two given integral sides and introduces generalizations to these problems.
Findings
Solved two specific Diophantine problems.
Provided generalizations for triangles with two integral sides.
Enhanced understanding of integral side triangles in number theory.
Abstract
We study some Diophantine problems related to triangles with two given integral sides. We solve two problems posed by Zolt\'an Bertalan and we also provide some generalization.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Analytic Number Theory Research · Mathematics and Applications