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On the smallest gap in a sequence with Poisson pair correlations

Year: 2024
Type: article
Abstract: We prove that any increasing sequence of real numbers with average gap $1$ and Poisson pair correlations has some gap that is at least $3/2+10^{-9}$ . This improves upon a result of Aistleitner, Blomer, and Radziwiłł.
Authors: Daniel Altman, Zachary Chase
Language: English
Open Access status: green
OpenAlex ID: W4404602734
FWCI: 1.112
Cites: 11
Cited by: 1
Related to: 10