On certain diophantine equations related to triangular and tetrahedral numbers
Maciej Ulas
TL;DR
This paper explores solutions to specific Diophantine equations involving triangular and tetrahedral numbers, presenting new findings and proposing related open problems in number theory.
Contribution
It provides explicit solutions to certain Diophantine equations linked to these figurate numbers and introduces several new open problems for further research.
Findings
Solutions to specific Diophantine equations involving figurate numbers
Proposed several open problems related to triangular and tetrahedral numbers
Presented at an international number theory workshop
Abstract
In this paper we give solutions of certain diophantine equations related to triangular and tetrahedral numbers and propose several problems connected with these numbers. The material of this paper was presented in part at the 11th International Workshop for Young Mathematicians - NUMBER THEORY, Krak\'{o}w, 14th-20th september 2008.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Mathematical Dynamics and Fractals · Analytic Number Theory Research