number theory

A systematic approach to Diophantine equations: open problems

arXiv:2404.08518

summary

The paper gathers a collection of simple‑to‑state polynomial Diophantine equations that remain unsolved, highlighting open problems in integer solutions.

Abstract

This paper collects polynomial Diophantine equations that are simple to state but apparently difficult to solve.

Topics & keywords

#diophantine equations#polynomial equations#open problems#integer solutions#unsolved problemsDiophantine equationspolynomial Diophantineinteger solutionsopen problemsundecidability
A systematic approach to Diophantine equations: open problems · wovepaper