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Correlations of eigenvalues on multi-dimensional flat tori

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Publication:1976644
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DOI10.1007/s002200050777zbMath0963.58014OpenAlexW2389551946MaRDI QIDQ1976644

Jeffrey M. Vanderkam

Publication date: 12 June 2001

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050777


zbMATH Keywords

eigenvaluesLaplaciancorrelationsflat tori


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; eigenvalue problems on manifolds (58C40)


Related Items (8)

Triple correlation and long gaps in the spectrum of flat tori ⋮ On the Poisson distribution of lengths of lattice vectors in a random lattice ⋮ The \(n\)-point correlation of quadratic forms ⋮ Pair correlation of sums of rationals with bounded height ⋮ Systems of quadratic Diophantine inequalities and the value distribution of quadratic forms ⋮ Quantum transport in a crystal with short-range interactions: the Boltzmann-Grad limit ⋮ The two-point correlation function of the fractional parts of $\sqrt {n}$ is Poisson ⋮ Pair correlation densities of inhomogeneous quadratic forms. II.




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