Poisson distribution for gaps between sums of two squares and level spacings for toral point scatterers

DOI10.4310/CNTP.2017.v11.n4.a3zbMath1426.11096arXiv1701.01157MaRDI QIDQ1748983

Pär Kurlberg, Lior Rosenzweig, Tristan Freiberg

Publication date: 15 May 2018

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.01157

zbMATH Keywords

level spacing distributionsquare billiardquantum spectrum

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25)

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A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator ⋮ Superscars for arithmetic point scatters II ⋮ Superscars for arithmetic toral point scatterers ⋮ Combinatorial identities and Titchmarsh's divisor problem for multiplicative functions ⋮ Lemke Oliver and Soundararajan bias for consecutive sums of two squares ⋮ Correlations of Sums of Two Squares and Other Arithmetic Functions in Function Fields ⋮ Level repulsion for arithmetic toral point scatterers in dimension 3 ⋮ The variance of the number of sums of two squares in [inline-graphic 01 [T] in short intervals]

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