On pair correlation for generic diagonal forms

2016/06/20 by Jean Bourgain, Bourgain, Jean
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1606.06173

10 pages

arxiv created 2016/06/20 · arxiv updated 2016/06/21

Abstract

We establish new pair correlation results for certain generic homogenous diagonal forms evaluated on the integers. Methods are analytic leading to explicit quantitative statements.

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