Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (1): 79-86.

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Grand Zero Density Estimates of L-functions Associated with Cusp Forms

  

  1. College of Information Technology, Shanghai Ocean University

  • Received:2009-12-10 Online:2012-03-30 Published:2023-04-06
  • About author:LI Ying-jie(1980-), male, native of Liaocheng, Shandong, a lecturer of Shanghai Ocean University, Ph.D., engages in analytic number theory.
  • Supported by:

    Supported by the NNSF of China(11071186); Supported by the Science Foundation for the Excellent Youth Scholars of Shanghai(ssc08017); Supported by the Doctoral Research Fund of Shanghai Ocean University

Abstract: In this paper a zero-density estimate of the large sieve type is given for the automorphic L-function Lf(s,χ), where f is a holomorphic cusp form and χ a Dirichlet character of mod q.


Key words: zero density, L-function, cusp form

CLC Number: