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International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn040, 11 pages, doi:10.1093/imrn/rnn040 published on May 7, 2008
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© The Author 2008. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Cubic Thue Equations with Many Solutions

Cameron L. Stewart

Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

Correspondence: Correspondence to be sent to: cstewart{at}uwaterloo.ca

We shall prove that if F is a cubic binary form with integer coefficients and nonzero discriminant then there is a positive number c, which depends on F, such that the Thue equation F(x, y) = m has at least c(log m)1/2 solutions in integers x and y for infinitely many positive integers m.

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This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
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Right arrow Email this article to a friend
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