A diophantine problem on biquadrates revisited
Ajai Choudhry
TL;DR
This paper presents a new parametric solution to a classical Diophantine problem involving finding two triads of biquadrates with equal sums and products, advancing understanding of such algebraic structures.
Contribution
It introduces a novel parametric solution to a longstanding problem of equal sums and products among biquadrates, expanding the set of known solutions.
Findings
New parametric solution for biquadrates problem
Enhanced understanding of algebraic structures involving biquadrates
Potential applications in number theory and algebraic equations
Abstract
In this paper we obtain a new parametric solution of the problem of finding two triads of biquadrates with equal sums and equal products.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Differential Equations and Dynamical Systems · Algebraic Geometry and Number Theory