Fourier Dimension Estimates for Sets of Exact Approximation Order: The Well-Approximable Case-Reference-Cited by-同舟云学术

Fourier Dimension Estimates for Sets of Exact Approximation Order: The Well-Approximable Case

Published:2022-10-04 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Fraser Robert¹,Wheeler Reuben¹

Affiliation:

1. School of Mathematics, University of Edinburgh , James Clerk Maxwell Building, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK

Abstract

Abstract We obtain a Fourier dimension estimate for sets of exact approximation order introduced by Bugeaud for certain approximation functions $\psi $. This Fourier dimension estimate implies that these sets of exact approximation order contain normal numbers.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnac256/46341586/rnac256.pdf

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