Liminf Sets in Simultaneous Diophantine Approximation
Adiceam, Faustin
(2016)
Liminf Sets in Simultaneous Diophantine Approximation.
Journal de Théorie des Nombres de Bordeaux.
pp. 461-483.
ISSN: 1246-7405
Abstract
Let Q be an infinite set of positive integers. Denote by W(Q) the set of n-tuples of real numbers simultaneously tau-well approximable by infinitely many rationals with denominators in Q but only by finitely many rationals with denominators in the complement of Q. The Hausdorff dimension of the liminf set W(Q) is computed when tau > 2 + 1/n. A p-adic analogue of the problem is also studied.
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Item Type:
Article
Authors/Creators:
Adiceam, Faustin (fma508@york.ac.uk)
Copyright, Publisher and Additional Information:
This is an author produced version of a paper accepted for publication in Journal de Théorie des Nombres de Bordeaux. Uploaded with permission from the publisher.
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