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arXiv · 2211.02469

Correlations of values of random diagonal forms

Valentin Blomer·Junxian Li
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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 mean spacing is one. We show that the l-correlation of almost all such forms is Poissonian when k is large enough depending on l and d.

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Valentin Blomer, Junxian Li. 2022-11-04. Correlations of values of random diagonal forms. https://arxiv.org/abs/2211.02469

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