Correlations of Values of Random Diagonal Forms

Author:

Blomer Valentin1,Li Junxian1

Affiliation:

1. Mathematisches Institut , Endenicher Allee 60, 53115 Bonn, Germany

Abstract

Abstract We study the value distribution of diagonal forms in $k$ variables and degree $d$ with random real coefficients and positive integer variables, normalized so that the mean spacing is one. We show that the $\ell $-correlation of almost all such forms is Poissonian when $k$ is large enough depending on $\ell $ and $d$.

Funder

Germany’s Excellence Strategy

DFG

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

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