Abstract
We show that a pair correlation function for the spectrum of a flat 2-dimensional torus satisfying an explicit Diophantine condition agrees with those of a Poisson process with a polynomial error rate. The proof is based on a quantitative equidistribution theorem and tools from geometry of numbers.
Original language | English |
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Pages (from-to) | 181-234 |
Number of pages | 54 |
Journal | Journal d'Analyse Mathematique |
Volume | 151 |
Issue number | 1 |
DOIs | |
State | Published - Dec 2023 |
Bibliographical note
Publisher Copyright:© 2023, The Hebrew University of Jerusalem.