Factoring determinants and applications to number theory

DOI10.1142/s2010326324500102MaRDI QIDQ6592971

J. Brian Conrey, Estelle L. Basor

Publication date: 26 August 2024

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

\(L\)-functionsFredholm determinantsToeplitz matricesgroup averages

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Relations with random matrices (11M50)

Cites Work

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• On the averages of characteristic polynomials from classical groups
• Correlations of eigenvalues and Riemann zeros
• Asymptotic behavior of block Toeplitz matrices and determinants. II
• Introduction to large truncated Toeplitz matrices
• A Fredholm determinant formula for Toeplitz determinants
• On a Toeplitz determinant identity of Borodin and Okounkov
• Algebraic aspects of increasing subsequences
• Quantum spin chain, Toeplitz determinants and the Fisher-Hartwig conjecture
• Entanglement entropy in quantum spin chains with finite range interaction
• Determinant computations for some classes of Toeplitz-Hankel matrices
• Scattering theory and polynomials orthogonal on the unit circle
• Entanglement in theXYspin chain
• Applications of theL-functions ratios conjectures
• Integral moments of L-functions
• Random matrix theory and \(\zeta(1/2+it)\).
• One more proof of the Borodin-Okounkov formula for Toeplitz determinants

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