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arxiv: 2404.08518 · v7 · pith:RYKT2W26new · submitted 2024-04-12 · 🧮 math.GM

A systematic approach to Diophantine equations: open problems

Bogdan Grechuk This is my paper
classification 🧮 math.GM
keywords diophantineequationsapparentlyapproachcollectsdifficultopenpolynomial
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This paper collects polynomial Diophantine equations that are simple to state but apparently difficult to solve.

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Cited by 1 Pith paper

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  1. On the shortest open cubic equations

    math.GM 2026-03 unverdicted novelty 6.0

    Proves no integer solutions for 7x^3 + 2y^3 = 3z^2 + 1 and updates the list of shortest open cubic equations.