SPECIAL CHARACTERIZATIONS OF POLYGONAL NUMBERS THROUGH PELL EQUATIONS

S Vidhyalakshmi; S Aarthy Thangam

doi:10.48165/

Authors

S Vidhyalakshmi 1Professor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy, Tamil Nadu 620 002, India
S Aarthy Thangam 1Professor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy, Tamil Nadu 620 002, India

DOI:

https://doi.org/10.48165/

Keywords:

Positive Pell equation, Negative Pell equation, Polygonal numbers, Integer solutions

Abstract

In this paper, different choices of positive and negative Pell equations are considered. Employing the non-zero integer solutions of each of the above choices of positive and negative Pell equations, the relations among the special polygonal numbers are exhibited.

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