Parameterized Integer Solutions of Quaternary Quadratic Diophantine Equation

This study explores a generalized quadratic Diophantine equation in four variables, building on classical approaches to highlight new connections with Krishnamurthy numbers and Leyland primes , considered here up to five-digit values. Different methods of working with the equation are outlined, and integer solutions are obtained through MATLAB computations.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-23
DOI
https://doi.org/10.5281/zenodo.19181858
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
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article

Parameterized Integer Solutions of Quaternary Quadratic Diophantine Equation

R. Sarulatha G. Janaki
Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
article

Parameterized Integer Solutions of Quaternary Quadratic Diophantine Equation

R. Sarulatha G. Janaki
article en

Abstract

This study explores a generalized quadratic Diophantine equation in four variables, building on classical approaches to highlight new connections with Krishnamurthy numbers and Leyland primes , considered here up to five-digit values. Different methods of working with the equation are outlined, and integer solutions are obtained through MATLAB computations.

Zenodo (CERN European Organization for Nuclear Research)
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Algebraic Geometry and Number Theory
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Parameterized Integer Solutions of Quaternary Quadratic Diophantine Equation — R. Sarulatha G. Janaki · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS