On the Mixed Littlewood Conjecture and continued fractions in quadratic fields

Paloma Bengoechea; Evgeniy Zorin

doi:10.1016/j.jnt.2015.10.007

On the Mixed Littlewood Conjecture and continued fractions in quadratic fields

Paloma Bengoechea, Evgeniy Zorin

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1-10
Number of pages	11
Journal	Journal of Number Theory
Volume	162
Early online date	10 Dec 2015
DOIs	https://doi.org/10.1016/j.jnt.2015.10.007
Publication status	Published - May 2016

Bibliographical note

© 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.

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10.1016/j.jnt.2015.10.007

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© 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. Embargo period : 12 months
Accepted author manuscript, 283 KBLicence: CC BY-NC-ND

https://www.scopus.com/record/display.uri?eid=2-s2.0-84949575815&origin=resultslist&sort=plf-f&src=s&sid=CB1101D9392FE6EB6A82E41A874660D6.wsnAw8kcdt7IPYLO0V48gA%3a980&sot=autdocs&sdt=autdocs&sl=18&s=AU-ID%2856345927900%29&relpos=1&citeCnt=0&searchTerm=

Programme Grant-New Frameworks in metric Number Theory
VELANI, S. (Principal investigator) & Beresnevich, V. (Other)
EPSRC
1/06/12 → 30/11/18
Project: Research project (funded) › Research

Cite this

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title = "On the Mixed Littlewood Conjecture and continued fractions in quadratic fields",

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 Teuli{\'e} on the Mixed Littlewood Conjecture.",

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On the Mixed Littlewood Conjecture and continued fractions in quadratic fields

Abstract

Bibliographical note

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Projects

Programme Grant-New Frameworks in metric Number Theory

Cite this