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2018/92/3-4 (11) — DOI: 10.5486/PMD.2018.8018 — pp. 441-452

Integral points and arithmetic progressions on Huff curves

Authors: Szabolcs Tengely

Abstract:

In this paper, we provide bounds for the size of the integral points on some generalized Huff curves. We also deal with integral points on these types of curves with one of the coordinates forming arithmetic progressions.

Keywords: Diophantine equations, arithmetic progressions, elliptic curves

Mathematics Subject Classification: 11D61, 11Y50