Correlations of values of random diagonal forms

2022/11/04 by Valentin Blomer, Junxian Li, Blomer, Valentin +1
Computer Science · Mathematics · #Data Management and Algorithms #FOS: Mathematics #Number Theory (math.NT) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2211.02469

openalex publication_date 2022/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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