Clusters of near-degenerate levels dominate negative moments of spectral determinants

Journal of Physics A: Mathematical and General

Volumn 35, Issue 1, 2002, Pages

  Berry, M V ^a   Keating, J P ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037059728     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/1/101     Document Type: Article

References (12)

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3. Berry M V and Keating J P 1999 The Riemann zeros and eigenvalue asymptotics SIAM Rev. 41 236-66
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5. Edwards H M 1974 Riemann's Zeta Function (New York: Academic)
6. Fyodorov Y V 2001 Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation Preprint arXiv:math-ph/106006
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11. Keating J P and Snaith N C 2000 Random matrix theory and ζ (1/2 + it) Commun. Math. Phys. 214 57-89
12. Voros A 1992 Spectral zeta functions Adv. Stud. Pure Math. 21 327-58