Bengoechea, Paloma and Zorin, Evgeniy orcid.org/0000-0002-3092-340X (2016) On the Mixed Littlewood Conjecture and continued fractions in quadratic fields. Journal of Number Theory. pp. 1-10. ISSN 0022-314X
Abstract
We show how a recent result by Aka and Shapira on the evolution of continued fractions in a fixed quadratic field implies a strengthened form of the classic result of de Mathan and Teulié on the Mixed Littlewood Conjecture.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2015 Published by Elsevier Inc. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details. |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Funding Information: | Funder Grant number EPSRC EP/J018260/1 |
Depositing User: | Pure (York) |
Date Deposited: | 22 Dec 2016 10:03 |
Last Modified: | 10 Apr 2025 23:10 |
Published Version: | https://doi.org/10.1016/j.jnt.2015.10.007 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1016/j.jnt.2015.10.007 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:109851 |