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)
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