One level density of low-lying zeros of families of L-functions

被引：11
|
作者：
Gao, Peng [1 ]
Zhao, Liangyi [1 ]
机构：
[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore
来源：
COMPOSITIO MATHEMATICA | 2011年 / 147卷 / 01期
关键词：
one level density; low-lying zeros; Hecke eigenforms; quadratic Dirichlet characters; cubic Dirichlet characters; quartic Dirichlet characters;
D O I：
10.1112/S0010437X10004914
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove some one level density results for the low-lying zeros of families of L-functions. More specifically, the families under consideration are that of L-functions of holomorphic Hecke eigenforms of level 1 and weight k twisted with quadratic Dirichlet characters and that of cubic and quartic Dirichlet L-functions.
引用
收藏
页码：1 / 18
页数：18
相关论文
共 47 条
  • [1] Weighted one-level density of low-lying zeros of Dirichlet L-functions
    Sugiyama, Shingo
    Suriajaya, Ade Irma
    RESEARCH IN NUMBER THEORY, 2022, 8 (03)
  • [2] Weighted one-level density of low-lying zeros of Dirichlet L-functions
    Shingo Sugiyama
    Ade Irma Suriajaya
    Research in Number Theory, 2022, 8
  • [3] One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke L-functions
    Gao, Peng
    Zhao, Liangyi
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2020, 72 (02): : 427 - 454
  • [4] Hilbert spaces and low-lying zeros of L-functions
    Carneiro, Emanuel
    Chirre, Andres
    Milinovich, Micah B.
    ADVANCES IN MATHEMATICS, 2022, 410
  • [5] n-level density of the low-lying zeros of primitive Dirichlet L-functions
    Chandee, Vorrapan
    Lee, Yoonbok
    ADVANCES IN MATHEMATICS, 2020, 369
  • [6] Dirichlet characters and low-lying zeros of L-functions
    Cho, Peter J.
    Park, Jeongho
    JOURNAL OF NUMBER THEORY, 2020, 212 : 203 - 232
  • [7] Low-lying zeros of number field L-functions
    Miller, Steven J.
    Peckner, Ryan
    JOURNAL OF NUMBER THEORY, 2012, 132 (12) : 2866 - 2891
  • [8] LOW-LYING ZEROS OF L-FUNCTIONS FOR QUATERNION ALGEBRAS
    Lesesvre, Didier
    ANNALES DE L INSTITUT FOURIER, 2021, 71 (03) : 1635 - 1676
  • [9] Low-lying zeros in families of elliptic curve L-functions over function fields
    Meisner, Patrick
    Sodergren, Anders
    FINITE FIELDS AND THEIR APPLICATIONS, 2022, 84
  • [10] Low-lying zeros for L-functions associated to Hilbert modular forms of large level
    Liu, Sheng-Chi
    Miller, Steven J.
    ACTA ARITHMETICA, 2017, 180 (03) : 251 - 266
12345