Cubic Thue inequalities with positive discriminant

Shabnam Akhtari

doi:10.5486/PMD.2013.5721

Cubic Thue inequalities with positive discriminant

Shabnam Akhtari

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We will give an explicit upper bound for the number of solutions to cubic inequality/F(x; y)/≤ h, where F(x; y) is a cubic binary form with integer coef-ficients and positive discriminant D. Our upper bound is independent of h, provided that h is smaller than D¹⁼⁴.

Original language	English (US)
Pages (from-to)	727-739
Number of pages	13
Journal	Publicationes Mathematicae
Volume	83
Issue number	4
DOIs	https://doi.org/10.5486/PMD.2013.5721
State	Published - 2013

All Science Journal Classification (ASJC) codes

General Mathematics

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10.5486/PMD.2013.5721

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Cubic Thue inequalities with positive discriminant

Abstract

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