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arXiv · 1404.5161

A Quantitative Result on Diophantine Approximation for Intersective Polynomials

Neil Lyall·Alex Rice
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Abstract

In this short note, we closely follow the approach of Green and Tao to extend the best known bound for recurrence modulo 1 from squares to the largest possible class of polynomials. The paper concludes with a brief discussion of a consequence of this result for polynomials structures in sumsets and limitations of the method.

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Neil Lyall, Alex Rice. 2014-04-21. A Quantitative Result on Diophantine Approximation for Intersective Polynomials. https://arxiv.org/abs/1404.5161

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