On Solving Generalized Quadratic Diophantine Equation Dx^2+y^2=(D+λ^2 )^n

Diophantine Equations named after ancient Greek mathematician Diophantus, plays a vital role not only in number theory but also in several branches of mathematics. In this paper, we have solved specific class of quadratic Diophantine equation and obtained its complete solutions. As verification, we have solved some of its particular cases.

Authors

Publication Details

Journal
Panamerican mathematical journal.
Published
2024-11-20
DOI
https://doi.org/10.52783/pmj.v35.i2s.2400
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

On Solving Generalized Quadratic Diophantine Equation Dx^2+y^2=(D+λ^2 )^n

Ram Krishna
Panamerican mathematical journal.
Advanced Mathematical Theories and Applications
article

On Solving Generalized Quadratic Diophantine Equation Dx^2+y^2=(D+λ^2 )^n

Ram Krishna
article en

Abstract

Diophantine Equations named after ancient Greek mathematician Diophantus, plays a vital role not only in number theory but also in several branches of mathematics. In this paper, we have solved specific class of quadratic Diophantine equation and obtained its complete solutions. As verification, we have solved some of its particular cases.

Panamerican mathematical journal.Vol. 35(2s)
Openalex Percentile: Top 76%
Advanced Mathematical Theories and Applications
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On Solving Generalized Quadratic Diophantine Equation Dx^2+y^2=(D+λ^2 )^n — Ram Krishna · Panamerican mathematical journal. (2024) | TGRS Research Map | TGRS