Title of article
ON THE LITTLEWOOD CONJECTURE IN SIMULTANEOUS DIOPHANTINE APPROXIMATION
Author/Authors
BORIS ADAMCZEWSKI and YANN BUGEAUD، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
12
From page
355
To page
366
Abstract
For any given real number α with bounded partial quotients, we construct explicitly continuum
many real numbers β with bounded partial quotients for which the pair (α, β) satisfies a strong
form of the Littlewood conjecture. Our proof is elementary and rests on the basic theory of
continued fractions.
Journal title
journal of the london mathematical society
Serial Year
2006
Journal title
journal of the london mathematical society
Record number
708377
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