About the Diophantine Equation x⁴-q⁴=py^r

2009/07/06 by Diana Savin, Savin, Diana
Mathematics · Physics and Astronomy · #11D41 #Advanced Mathematical Theories and Applications #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0907.0771

openalex publication_date 2009/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove a theorem about the integer solutions to the Diophantine equation x⁴-q⁴=py^r, extending previous work of K.Gy\H ory, and F.Luca and A.Togbe, and of the author.

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