The Second Moment of Twisted Modular L-Functions

[1]  Djordje Milićević Sub-Weyl subconvexity for Dirichlet $L$-functions to prime power moduli , 2014, Compositio Mathematica.

[2]  D. Polymath New equidistribution estimates of Zhang type, and bounded gaps between primes , 2014 .

[3]  J. Hoffstein,et al.  Second Moments and simultaneous non-vanishing of GL(2) automorphic L-series , 2013, 1308.5980.

[4]  Rizwanur Khan,et al.  Mass distribution of holomorphic cusp forms , 2012 .

[5]  Rizwanur Khan Simultaneous non-vanishing of GL(3) × GL(2) and GL(2) L-functions , 2011, Mathematical Proceedings of the Cambridge Philosophical Society.

[6]  Qiao Zhang On the Fourth Moment of the Riemann Zeta Function , 2010 .

[7]  Peng Gao,et al.  The second moment of Dirichlet twists of Hecke L-functions , 2008, 0812.2606.

[8]  Xiaoqing Li The Central value of the Rankin–Selberg L-Functions , 2008, 0812.0035.

[9]  G. Harcos,et al.  The spectral decomposition of shifted convolution sums , 2007, math/0703246.

[10]  G. Harcos,et al.  A Burgess-like subconvex bound for twisted L-functions , 2007 .

[11]  M. Jutila Convolutions of Fourier Coefficients of Cusp Forms and the Circle Method , 2006 .

[12]  M. Young The fourth moment of Dirichlet L-functions , 2006, math/0610335.

[13]  Farrell Brumley Effective multiplicity one on GLn and narrow zero-free regions for Rankin-Selberg L-functions , 2006 .

[14]  Amir Akbary Simultaneous non-vanishing of twists , 2006 .

[15]  K. Soundararajan,et al.  Lower bounds for moments of L-functions: symplectic and orthogonal examples , 2006, math/0601498.

[16]  K. Soundararajan,et al.  Lower bounds for moments of L-functions. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[17]  A. Sárközy,et al.  On the pseudorandomness of the signs of Kloosterman sums , 2004, Journal of the Australian Mathematical Society.

[18]  P. Michel The subconvexity problem for Rankin-Selberg L-functions and equidistribution of Heegner points , 2004 .

[19]  G. Chinta Analytic ranks of elliptic curves over cyclotomic fields , 2002 .

[20]  P. Sarnak Estimates for Rankin–Selberg L-Functions and Quantum Unique Ergodicity , 2001 .

[21]  D. Ramakrishnan,et al.  On the Exceptional Zeros of Rankin–Selberg L-Functions , 2001, Compositio Mathematica.

[22]  Peter Sarnak,et al.  The non-vanishing of central values of automorphic L-functions and Landau-Siegel zeros , 2000 .

[23]  M. Huxley,et al.  Hybrid bounds for Dirichlet's L-function , 2000, Mathematical Proceedings of the Cambridge Philosophical Society.

[24]  E. Kowalski,et al.  Mollification of the fourth moment of automorphic L-functions and arithmetic applications , 2000 .

[25]  Peter Sarnak,et al.  Low lying zeros of families of L-functions , 1999, math/9901141.

[26]  A. Ivic,et al.  On the Fourth Power Moment of the Riemann Zeta-Function , 1995 .

[27]  D. Rohrlich,et al.  OnL-functions of elliptic curves and cyclotomic towers , 1984 .

[28]  Henryk Iwaniec,et al.  Kloosterman sums and Fourier coefficients of cusp forms , 1982 .

[29]  F. W. J. Olver,et al.  The asymptotic expansion of bessel functions of large order , 1954, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[30]  Kerstin Vogler,et al.  Table Of Integrals Series And Products , 2016 .

[31]  J. Bourgain On Exponential Sums in Finite Fields , 2010 .

[32]  G. Harcos,et al.  Hybrid bounds for twisted L-functions , 2008 .

[33]  V. Blomer Shifted convolution sums and subconvexity bounds for automorphic L-functions , 2004 .

[34]  V. Blomer Non-vanishing of class group $L$-functions at the central point , 2004 .

[35]  P. Michel,et al.  On some exponential sums over primes. (Sur certaines sommes d"exponentielles sur les nombres premiers.) , 1998 .

[36]  M. Jutila Sieve Methods, Exponential Sums, and their Applications in Number Theory: A Variant of the Circle Method , 1997 .

[37]  本橋 洋一 Spectral theory of the Riemann zeta-function , 1997 .

[38]  Tomasz Stefanicki Non-vanishing of L-functions attached to automorphic representations of GL (2) over Q. , 1996 .

[39]  N. Katz,et al.  The divisor function over arithmetic progressions , 1992 .

[40]  Nicholas M. Katz,et al.  Gauss Sums, Kloosterman Sums, And Monodromy Groups , 1987 .