On patterns occurring in binary algebraic numbers-Reference-Cited by-同舟云学术

On patterns occurring in binary algebraic numbers

Published:2008-05-07 Issue:9 Volume:136 Page:3105-3109
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Adamczewski B.,Rampersad N.

Abstract

We prove that every algebraic number contains infinitely many occurrences of 7 / 3 7/3 -powers in its binary expansion. Using the same approach, we also show that every algebraic number contains either infinitely many occurrences of squares or infinitely many occurrences of one of the blocks 010 010 or 02120 02120 in its ternary expansion.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2008-136-09/S0002-9939-08-09319-2/S0002-9939-08-09319-2.pdf

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