arXiv:math/0307322 Abstract

Published 2003-07-24, updated 2003-12-11Version 2

This note is an observation that the LLL algorithm applied to prime powers can be used to find "good" examples for the ABC and Szpiro conjectures.

Comments: 6 pages; record algebraic example included; final version, to appear in J. Number Theory

Journal: J. Number Theory 107, No.1 (2004), 161-167

DOI: 10.1016/j.jnt.2004.02.003

Categories: math.NT

Subjects: 11D04, 11D41, 11D99

Keywords: prime powers, szpiro conjectures, lll algorithm

Tags: journal article

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