The metric theory of the pair correlation function for small non‐integer powers

DOI10.1112/jlms.12647arXiv2107.07092OpenAlexW3177638391MaRDI QIDQ6134549

Ze'ev Rudnick, Niclas Technau

Publication date: 22 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.07092

Mathematics Subject Classification ID

General theory of distribution modulo (1) (11K06)

Cites Work

• The pair correlation function of fractional parts of polynomials
• Pair correlation densities of inhomogeneous quadratic forms
• Gaps in \(\sqrt{n}\bmod 1\) and ergodic theory
• Zeros of principal \(L\)-functions and random matrix theory
• The metric theory of the pair correlation function of real-valued lacunary sequences
• A pair correlation problem, and counting lattice points with the zeta function
• Three-dimensional exponential sums with monomials
• Some extremal functions in Fourier analysis
• The two-point correlation function of the fractional parts of $\sqrt {n}$ is Poisson
• Low lying zeros of families of \(L\)-functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The metric theory of the pair correlation function for small non‐integer powers