CHARACTERIZING ALGEBRAIC CURVES WITH INFINITELY MANY INTEGRAL POINTS-Reference-Cited by-同舟云学术

CHARACTERIZING ALGEBRAIC CURVES WITH INFINITELY MANY INTEGRAL POINTS

Published:2009-06 Issue:04 Volume:05 Page:585-590
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

ALVANOS PARASKEVAS¹,BILU YURI²,POULAKIS DIMITRIOS¹

Affiliation:

1. Department of Mathematics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece

2. Institut de Mathématiques, Université Bordeaux 1, 351 cours de la Libération, 33405 Talence, France

Abstract

A classical theorem of Siegel asserts that the set of S-integral points of an algebraic curveC over a number field is finite unless C has genus 0 and at most two points at infinity. In this paper, we give necessary and sufficient conditions for C to have infinitely many S-integral points.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042109002274

Reference7 articles.

1. Ternary Form Equations

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