Correlations of values of random diagonal forms
Number Theory
2022-11-07 v1
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.
Cite
@article{arxiv.2211.02469,
title = {Correlations of values of random diagonal forms},
author = {Valentin Blomer and Junxian Li},
journal= {arXiv preprint arXiv:2211.02469},
year = {2022}
}
Comments
28 pages