Pair correlations of logarithms of complex lattice points
From MaRDI portal
Publication:6196079
DOI10.1007/s40993-023-00493-3arXiv2206.14600OpenAlexW4285335866MaRDI QIDQ6196079
Jouni Parkkonen, Frédéric Paulin
Publication date: 14 March 2024
Published in: Research in Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.14600
pair correlationEuler functionlattice point countingimaginary quadratic number fieldlevel repulsioncomplex logarithm
Asymptotic results on arithmetic functions (11N37) Geodesics in global differential geometry (53C22) Metric theory (11J83) Irregularities of distribution, discrepancy (11K38)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The pair correlation function of fractional parts of polynomials
- Values at integers of homogeneous polynomials
- On the statistics of pairs of logarithms of integers
- Some negative results related to Poissonian pair correlation problems
- Counting integral ideals in a number field
- Summation formulae involving arithmetic functions
- Pair correlations of Halton and Niederreiter sequences are not Poissonian
- Integer points on spheres and their orthogonal grids
- Gaps between logs
- Counting common perpendicular arcs in negative curvature
- Semiclassical formula for the number variance of the Riemann zeros
- Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees
- The Distribution of Directions in an Affine Lattice: Two-Point Correlations and Mixed Moments
- THE CORRELATIONS OF FAREY FRACTIONS
- An elementary proof of the prime ideal theorem
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
This page was built for publication: Pair correlations of logarithms of complex lattice points
