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Volumn 237, Issue 3, 2003, Pages 365-395

Autocorrelation of random matrix polynomials

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EID: 0038309325     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0852-2     Document Type: Article
Times cited : (119)

References (23)
  • 1
    • 0000335744 scopus 로고
    • Correlators of spectral determinants in quantum chaos
    • Andreev, A.V., Simons, B.D.: Correlators of spectral determinants in quantum chaos. Phys. Rev. Lett. 75(12), 2304-2307 (1995)
    • (1995) Phys. Rev. Lett. , vol.75 , Issue.12 , pp. 2304-2307
    • Andreev, A.V.1    Simons, B.D.2
  • 2
    • 0011903010 scopus 로고
    • Formulas for the evaluation of Toeplitz determinants with rational generating functions
    • Basor, E.L., Forrester, P.J.: Formulas for the evaluation of Toeplitz determinants with rational generating functions. Math. Nachr. 170, 5-18 (1994)
    • (1994) Math. Nachr. , vol.170 , pp. 5-18
    • Basor, E.L.1    Forrester, P.J.2
  • 3
    • 0001211238 scopus 로고
    • Random matrix theory and the Riemann zeros I: Three- and four-point correlations
    • Bogomolny, E.B., Keating, J.P.: Random matrix theory and the Riemann zeros I: Three- and four-point correlations. Nonlinearity 8, 1115-1131 (1995)
    • (1995) Nonlinearity , vol.8 , pp. 1115-1131
    • Bogomolny, E.B.1    Keating, J.P.2
  • 4
    • 0001404208 scopus 로고    scopus 로고
    • Random matrix theory and the Riemann zeros II:n-point correlations
    • Bogomolny, E.B., Keating, J.P.: Random matrix theory and the Riemann zeros II:n-point correlations. Nonlinearity 9, 911-935 (1996)
    • (1996) Nonlinearity , vol.9 , pp. 911-935
    • Bogomolny, E.B.1    Keating, J.P.2
  • 5
    • 0034348204 scopus 로고    scopus 로고
    • Characteristic polynomials of random matrices
    • arXiv:math-ph/9910005
    • Brézin, E., Hikami, S.: Characteristic polynomials of random matrices. Commun. Math. Phys. 214, 111-135 (2000), arXiv:math-ph/9910005
    • (2000) Commun. Math. Phys. , vol.214 , pp. 111-135
    • Brézin, E.1    Hikami, S.2
  • 7
    • 0347309320 scopus 로고    scopus 로고
    • Mean values of L-functions and symmetry
    • arXiv:math.nt/9912107
    • Conrey, J.B., Farmer, D.W.: Mean values of L-functions and symmetry. Int. Math. Res. Notices 17, 883-908 (2000), arXiv:math.nt/9912107
    • (2000) Int. Math. Res. Notices , vol.17 , pp. 883-908
    • Conrey, J.B.1    Farmer, D.W.2
  • 9
    • 0037141116 scopus 로고    scopus 로고
    • Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds
    • arXiv:math-ph/0201045
    • Fyodorov, Y.V., Strahov, E.: Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds. Nucl. Phys. B 630(3), 453-491 (2002) arXiv:math-ph/0201045
    • (2002) Nucl. Phys. B , vol.630 , Issue.3 , pp. 453-491
    • Fyodorov, Y.V.1    Strahov, E.2
  • 11
    • 0037203026 scopus 로고    scopus 로고
    • On correlation functions of characteristic polynomials for chiral Gaussian unitary ensemble
    • arXiv:hep-th/0205215
    • Fyodorov, Y.V., Strahov, E.: On correlation functions of characteristic polynomials for chiral Gaussian Unitary Ensemble. Nucl. Phys. B 647(3), 581-597 (2002), arXiv:hep-th/0205215
    • (2002) Nucl. Phys. B , vol.647 , Issue.3 , pp. 581-597
    • Fyodorov, Y.V.1    Strahov, E.2
  • 12
    • 84963009292 scopus 로고
    • On the triple correlation of zeros of the zeta function
    • Hejhal, D.A.: On the triple correlation of zeros of the zeta function. Inter. Math. Res. Notices 7, 293-302 (1994)
    • (1994) Inter. Math. Res. Notices , vol.7 , pp. 293-302
    • Hejhal, D.A.1
  • 13
    • 0000377106 scopus 로고    scopus 로고
    • Random matrix theory and the derivative of the Riemann zeta function
    • Hughes, C.P., Keating, J.P., O'Connell, N.: Random matrix theory and the derivative of the Riemann zeta function. Proc. R. Soc. Lond. A 456, 2611-2627 (2000)
    • (2000) Proc. R. Soc. Lond. A , vol.456 , pp. 2611-2627
    • Hughes, C.P.1    Keating, J.P.2    O'Connell, N.3
  • 14
    • 0035535736 scopus 로고    scopus 로고
    • On the characteristic polynomial of a random unitary matrix
    • Hughes, C.P., Keating, J.P., O'Connell, N.: On the characteristic polynomial of a random unitary matrix. Commun. Math. Phys. 220(2), 429-451 (2001)
    • (2001) Commun. Math. Phys. , vol.220 , Issue.2 , pp. 429-451
    • Hughes, C.P.1    Keating, J.P.2    O'Connell, N.3
  • 16
    • 0034288949 scopus 로고    scopus 로고
    • Random matrix theory and ζ (1/2 + it)
    • Keating, J.P., Snaith, N.C.: Random matrix theory and ζ (1/2 + it). Commun. Math. Phys. 214, 57-89 (2000)
    • (2000) Commun. Math. Phys. , vol.214 , pp. 57-89
    • Keating, J.P.1    Snaith, N.C.2
  • 17
    • 0034348205 scopus 로고    scopus 로고
    • Random matrix theory and L-functions at s = 1/2
    • Keating, J.P., Snaith, N.C.: Random matrix theory and L-functions at s = 1/2. Commun. Math. Phys. 214, 91-110 (2000)
    • (2000) Commun. Math. Phys. , vol.214 , pp. 91-110
    • Keating, J.P.1    Snaith, N.C.2
  • 18
    • 0000308274 scopus 로고
    • The pair correlation of the zeta function
    • Montgomery, H.L.: The pair correlation of the zeta function. Proc. Symp. Pure Math. 24, 181-193 (1973)
    • (1973) Proc. Symp. Pure Math. , vol.24 , pp. 181-193
    • Montgomery, H.L.1
  • 22
    • 0000580673 scopus 로고    scopus 로고
    • Principal L-functions and random matrix theory
    • Rudnick, Z., Sarnak, P.: Principal L-functions and random matrix theory. Duke Math. J. 81(2), 269-322 (1996)
    • (1996) Duke Math. J. , vol.81 , Issue.2 , pp. 269-322
    • Rudnick, Z.1    Sarnak, P.2
  • 23
    • 0004109271 scopus 로고
    • Princeton, NJ: Princeton University Press
    • Weyl, H.: Classical Groups. Princeton, NJ: Princeton University Press, 1946
    • (1946) Classical Groups
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.