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arXiv · 1303.0234

Equidistribution of values of linear forms on quadratic surfaces

Oliver Sargent
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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 [2011arXiv1111.4428S]. The methods used are based on those developed by A. Eskin, S. Mozes and G. Margulis in [MR1609447]. Specifically, they rely on equidistribution properties of unipotent flows.

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Oliver Sargent. 2013-12-10. Equidistribution of values of linear forms on quadratic surfaces. https://doi.org/10.2140/ant.2014.8.895

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