Descent methods for studying integer points on yⁿ=f(x)g(x), n≥ 2

2022/09/16 by Konstantinos A. Draziotis, Draziotis, K. A.
Mathematics · #11D41 #11D45 #11Y16 #11Y50 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2209.07909

openalex publication_date 2022/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the integer points on superelliptic and hyperelliptic curves of the form yⁿ=f(x)g(x), n≥ 2, \rmdegf+\rmdegg≥ 4.

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