Tanis, James and Vishe, Pankaj (2015) Uniform bounds for period integrals and sparse equidistribution. International Mathematics Research Notices. pp. 13728-13756. ISSN 1687-0247
Abstract
Let $M=\Gamma\backslash\mathrm{PSL}(2,\mathbb{R})$ be a compact manifold, and let $f\in C^\infty(M)$ be a function of zero average. We use spectral methods to get uniform (i.e. independent of spectral gap) bounds for twisted averages of $f$ along long horocycle orbit segments. We apply this to obtain an equidistribution result for sparse subsets of horocycles on $M$.
Metadata
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Copyright, Publisher and Additional Information: | © The Authors 2015. This is an author produced version of a paper accepted for publication in International Mathematics Research Notices. Uploaded in accordance with the publisher's self-archiving policy. | ||||
Keywords: | math.DS, math.NT | ||||
Dates: |
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Institution: | The University of York | ||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||
Funding Information: |
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Depositing User: | Pure (York) | ||||
Date Deposited: | 01 Dec 2015 10:33 | ||||
Last Modified: | 06 Dec 2023 11:02 | ||||
Published Version: | https://doi.org/10.1093/imrn/rnv115 | ||||
Status: | Published | ||||
Refereed: | No | ||||
Identification Number: | https://doi.org/10.1093/imrn/rnv115 | ||||
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