Skip Navigation

International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn040, 11 pages, doi:10.1093/imrn/rnn040 published on May 7, 2008
This Article
Right arrow Full Text (PDF)
Right arrow References
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow How to cite this article
Google Scholar
Right arrow Articles by Stewart, C. L.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 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.

See http://www.oxfordjournals.org/our journals/imrp/for proper citation instructions.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.