The \(n\)-point correlation of quadratic forms

DOI10.1007/S00605-015-0817-5zbMath1367.11035arXiv1401.1340OpenAlexW1656663720MaRDI QIDQ500321

Oliver Sargent

Publication date: 2 October 2015

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1340

zbMATH Keywords

Fourier analysisquadratic formsDiophantine inequalities\(n\)-point correlations

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Diophantine inequalities (11J25)

Cites Work

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• On the value distribution of positive definite quadratic forms
• Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
• Values of quadratic forms at primitive integral points
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• Pair correlation of four-dimensional flat tori
• Correlations of eigenvalues on multi-dimensional flat tori
• Distribution of values of quadratic forms at integral points
• Quadratic forms of signature \((2,2)\) and eigenvalue spacings on rectangular 2-tori
• Systems of quadratic Diophantine inequalities and the value distribution of quadratic forms
• Classical Fourier Analysis
• Level clustering in the regular spectrum

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