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2014 Equidistribution of values of linear forms on quadratic surfaces
Oliver Sargent
Algebra Number Theory 8(4): 895-932 (2014). DOI: 10.2140/ant.2014.8.895

Abstract

In this paper, we investigate the distribution of the set of values of a linear map at integer points on a quadratic surface. In particular, it is shown that, subject to certain algebraic conditions, this set is equidistributed. This can be thought of as a quantitative version of the main result from a previous paper. The methods used are based on those developed by A. Eskin, S. Mozes and G. Margulis. Specifically, they rely on equidistribution properties of unipotent flows.

Citation

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Oliver Sargent. "Equidistribution of values of linear forms on quadratic surfaces." Algebra Number Theory 8 (4) 895 - 932, 2014. https://doi.org/10.2140/ant.2014.8.895

Information

Received: 5 March 2013; Revised: 10 December 2013; Accepted: 22 January 2014; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1314.11018
MathSciNet: MR3248989
Digital Object Identifier: 10.2140/ant.2014.8.895

Subjects:
Primary: 11E99
Secondary: 37A17, 37A45

Rights: Copyright © 2014 Mathematical Sciences Publishers

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Vol.8 • No. 4 • 2014
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