Selected Publications

Selected Publications Selected Publications

Wenzhi Luo

[1] Nonvanishing of L-functions for GL(n, A_Q), Duke Math. J. 128, 2005, 199-207.
[2] Quantum variance for Hecke eigenforms, jointly with P.Sarnak, Ann. Sci. École Norm. Sup. 37, 2004, 769-799.
[3] On Hecke L-series associated with cubic characters, Compositio Math. 140, 2004, 1191-1196.
[4] Poincaré series and Hilbert modular forms, Ramanujan J. 7, 2003, 129-140.
[5] Mass equidistribution for modular forms, jointly with P.Sarnak, Comm. Pure Appl. Math. 56, 2003, 874-891.
[6] Equidistribution of Hecke eigenforms on the modular surface, Proc. Amer. Math. Soc. 131, 2003, 21-27.
[7] Nonvanishing of L-values and the Weyl law, Annals of Math. 154, 2001, 477-502.
[8] Low lying zeros of families of L-functions, jointly with H.Iwaniec and P.Sarnak, Inst. Hautes Études Sci. Publ. Math. 91, 2000, 55-131.
[9] Values of symmetric square L-functions at 1, J. reine angew. Math. 506, 1999, 215-235.
[10] Special L-values of Rankin-Selberg convolutions, Math. Ann. 314, 1999, 591-600.
[11] Rational points on complete intersections over F_p, Inter. Math. Res. Notices, 16, 1999, 901-907.
[12] On the generalized Ramanujan conjecture for GL(n), jointly with Z.Rudnick and P.Sarnak, Proc. Symp. Pure Math. 66, part 2, Amer. Math. Soc., 1999, 301-310.
[13] Bounds for incomplete hyper-Kloosterman sums, J. number theory, 75, 1999, 41-46.
[14] Determination of modular forms by twists of critical L-values, jointly with D.Ramakrishnan, Invent. math. 130, 1997, 371-398.
[15] Determination of modular elliptic curves by Heegner points, jointly with D.Ramakrishnan, Pacific J. Math. 181, 1997, 251-258.
[16] Nonvanishing of L-series and the combinatorial sieve, jointly with J.Hoffstein, with an appendix by D.Rohrlich, Math. Research Letters 4, 1997, 435-444.
[17] On a spectral analog of Selberg's result on S(T), jointly with D.Hejhal, Inter. Math. Res. Notices, 3, 1997, 135-151.
[18] Spectral mean values of automorphic L-functions at special points,
Analytic Number Theory: Proceedings of a conference in honor of Heini Halberstam, 1996, Birkhäuser, 621-632.
[19] On Selberg's eigenvalue conjecture, jointly with Z.Rudnick and P.Sarnak, Geometric and Functional Analysis, Vol.5, 1995, 387-401.
[20] Quantum ergodicity of eigenfunctions on PSL₂(Z)\H, jointly with P.Sarnak, Inst. Hautes Études Sci. Publ. Math. 81, 1995, 207-237.
[21] The spectral mean value for linear forms in twisted coefficients of cusp forms, Acta Arith. LXX. 4, 1995, 377-391.
[22] Zeros of Hecke L-functions associated with cusp forms, Acta Arith. LXXI. 2, 1995, 139-158.
[23] Number variance for arithmetic hyperbolic surfaces, jointly with P.Sarnak, Comm. Math. Phys. 161, 1994, 419-432.
[24] On the nonvanishing of Rankin-Selberg L-functions, Duke Math. J. Vol.69, 1993, 411-425.

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