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Table des matières de ce fascicule | Article précédent | Article suivant Iwaniec, H. Luo; Sarnak, P. Low lying zeros of families of ${\cal L}-$-functions. Publications Mathématiques de l'IHÉS, 91 (2000), p. 55-131 Texte intégral djvu | pdf | Analyses MR 2002h:11081 | Zbl 01656533 | 6 citations dans Numdam URL stable: http://www.numdam.org/item?id=PMIHES_2000__91__55_0 Bibliographie [AU] A. ABBES and E. ULLMO, Comparison des métriques d'Arakelov et de Poincaré sur X0(N), Duke Math. J. 80 (2) ( Article | MR 96k:11077 | Zbl 0895.14007 [CI] B. CONREY and H. IWANIEC, The cubic moment of central values of automorphic L-functions, Ann. of Math., 151 ( [De1] P. DELIGNE, La conjecture de Weil. I, II, Publ. Math. IHES, 48 ( Numdam [DFI] W. DUKE, J. FRIEDLANDER and H. IWANIEC, Class group L-functions, Duke Math. J. 79 ( Article | MR 97h:11138 | Zbl 0838.11058 [Fuj] A. FUJII, Some observations concerning the distribution of zeros of zeta functions II, Comment. Math. Univ. St. Pauli 40 ( [Gal] P. X. GALLAGHER, Pair correlation of zeros of the zeta function, J. Reine Angew. Math. 362 ( [GJ] S. GELBART and H. JACQUET, A relation between automorphic representations of GL(2) and GL(3), Ann. Sci. Ecole Norm. Sup. 11 ( Numdam | MR 81e:10025 | Zbl 0406.10022 [GR] I. S. GRADSHTEYN and I. M. RYZHIK, Table of Integrals, Series, and Products, New York, Academic Press, [Hej] D. HEJHAL, On the triple correlation of the zeros of the zeta-function, IMRN ( [HL] J. HOFFSTEIN and P. LOCKHART, Coefficients of Maass forms and the Siegel zero; Appendix by D. Goldfeld, J. Hoffstein and D. Lieman, An effective zero-free region, Ann. of Math. 140 ( [Iwa] H. IWANIEC, Topics in classical automorphic forms, Grad. Studies in Math., (17) AMS ( [IS] H. IWANIEC and P. SARNAK, The non-vanishing of central values of automorphic L-functions and Landau-Siegel zeros, Israel Math. J., to appear. Zbl 0992.11037 [JP-SS] H. JACQUET, I. PIATETSKI-SHAPIRO, J. SHALIKA, Rankin-Selberg convolutions, Amer. J. Math. 105 ( [KS1] N. KATZ and P. SARNAK, Random Matrices, Frobenius Eigenvalues and Monodromy, AMS Colloq. Publ. 45 ( [KS2] N. KATZ and P. SARNAK, Zeros of zeta functions and symmetry, Bull. AMS 36 ( [KM1] E. KOWALSKI and P. MICHEL, The analytic rank of J0(q) and zeros of automorphic L-functions, Duke Math. J. 100 ( Article | MR 2001b:11060 | Zbl 01425264 [KM2] E. KOWALSKI and P. MICHEL, A lower bound for the rank of J0(q), Acta Arith., 94 ( Article | MR 2003a:11054 | Zbl 0973.11065 [KMV1] E. KOWALSKI, P. MICHEL and J. VANDERKAM, Non-vanishing of high derivatives of automorphic L-functions at the center of the critical strip, J. Reine Angew. Math., 526 ( [KMV2] E. KOWALSKI, P. MICHEL and J. VANDERKAM, Mollification of the fourth moment of automorphic L-functions and arithmetic applications, Invent. Math. 142 ( [KMV3] E. KOWALSKI, P. MICHEL and J. VANDERKAM, Rankin-Selberg L-functions in the level aspect, Preprint ( [LW] S. LANG and A. WEIL, Number of points of varieties in finite fields, Amer. J. Math. 76 ( [Li] W. LI, Newforms and functional equations, Math. Ann. 212 ( [Miy] T. MIYAKE, Modular Forms, Springer-Verlag, [Mon] H. L. MONTGOMERY, The pair correlation of zeros of the zeta-function, Proc. Symp. Pure Math. AMS 24 ( [P1] H. PETERSSON, Zur analytischen Theorie der Grenzkreisgruppen. I-V, Math. Ann. 115 ( [P2] H. PETERSSON, Über die Entwicklungskoefficienten der automorphen formen, Acta Math. 58 ( [R] M. RUBINSTEIN, private communication, [RS] Z. RUDNICK and P. SARNAK, Principal L-functions and random matrix theory, Duke Math. J. 81 (2) ( Article | MR 97f:11074 | Zbl 0866.11050 [S1] G. SHIMURA, On the holomorphy of certain Dirichlet series, Proc. London Math. Soc. 31 (3) ( [S2] G. SHIMURA, Introduction to the Arithmetic Theory of Automorphic Functions, Princeton, NJ, Princeton University Press, [Tit] E. C. TITCHMARSH, The Theory of the Riemann Zeta-function, Oxford (second edition), Clarendon Press, [Van] J. VANDERKAM, The rank of quotients of J0(N), Duke Math. J. 97 (3) ( Article | MR 2000i:11103 | Zbl 1013.11030 [Vin] I. M. VINOGRADOV, Estimate of a prime-number trigonometric sum (in Russian), Izv. Akad. Nauk SSSR Ser. Mat. 23 ( [Wat] G. N. WATSON, A Treatise on the Theory of Bessel Functions, Cambridge University Press, |
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