Pair correlation of four-dimensional flat tori

DOI10.1215/S0012-7094-99-09717-XzbMath0965.11017OpenAlexW2087465515MaRDI QIDQ1974906

Jeffrey M. Vanderkam

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-99-09717-x

zbMATH Keywords

eigenvaluespair correlationshomogeneous quartic formsBerry-Tabor conjectureeigenvalues of flat tori

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Multiplicative and norm form equations (11D57)

Related Items

Triple correlation and long gaps in the spectrum of flat tori, Values at integers of homogeneous polynomials, The \(n\)-point correlation of quadratic forms, Pair correlation of sums of rationals with bounded height, The two-point correlation function of the fractional parts of $\sqrt {n}$ is Poisson, Pair correlation densities of inhomogeneous quadratic forms. II.

Cites Work

• Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
• Values at integers of homogeneous polynomials
• Level clustering in the regular spectrum
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