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A systematic approach to Diophantine equations: open problems | Synapse

April 12, 2024Open Access

A systematic approach to Diophantine equations: open problems

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Abstract

This paper collects polynomial Diophantine equations that are amazingly simple to write down but are apparently difficult to solve.

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Bogdan Grechuk (Fri,) studied this question.

synapsesocial.com/papers/68e6f71db6db643587671b8e https://doi.org/https://doi.org/10.48550/arxiv.2404.08518

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5Homogeneous Quadratic Equation with Four Unknowns 𝑥2 + 𝑥𝑦 + 𝑦2 = 𝑧2 + 𝑧𝑤 + 𝑤22024