Intermediate-scale statistics for real-valued lacunary sequences

DOI10.1017/s0305004123000142arXiv2208.04702OpenAlexW4364382289MaRDI QIDQ6116301

Nadav Yesha

Publication date: 11 August 2023

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.04702

Mathematics Subject Classification ID

Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99) General theory of distribution modulo (1) (11K06)

Cites Work

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• Pair correlations of sequences in higher dimensions
• The pair correlation function of fractional parts of polynomials
• Long-range correlations of sequences modulo 1
• Poissonian correlations of higher orders
• The metric theory of the pair correlation function of real-valued lacunary sequences
• The distribution of spacings between fractional parts of lacunary sequences
• Pair correlation for fractional parts of αn²
• Semiclassical formula for the number variance of the Riemann zeros
• A metric result on the pair correlation of fractional parts of sequences
• On the triple correlations of fractional parts of
• DISTRIBUTION MODULO ONE AND RATNER’S THEOREM
• The distribution of spacings of real‐valued lacunary sequences modulo one

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