数域上Hecke L-函数中心点值的研究

11871082
2018
A0102.解析数论与组合数论
高鹏
面上项目
教授
北京航空航天大学
53万元
中心点值;低零点密度猜想;均值公式;L-函数;数域
2019-01-01到2022-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Moments of central values of quartic Dirichlet L-functions 期刊论文 Peng Gao;Liangyi Zhao
2 Value-distribution of quartic HeckeL-functions 期刊论文 Peng Gao;Liangyi Zhao
3 Bounds for moments of modular L-functions to a fixed modulus 期刊论文 Peng Gao;Xiaoguang He;Xiaosheng Wu
4 Weighted first moments of some special quadratic Dirichlet L-functions. 期刊论文 Peng Gao;Liangyi Zhao
5 Moments and One level density of certain unitary families of Hecke L-functions 期刊论文 Peng Gao;Liangyi Zhao
6 One level density of low-lying zeros of quadratic Hecke L-functions to prime moduli 期刊论文 Peng Gao;Liangyi Zhao
7 Primes p ≡ 1 mod d and a(p-1)/d ≡ 1 mod p. 期刊论文 Peng Gao;Liangyi Zhao
8 Mean values of cubic and quartic Dirichlet characters 期刊论文 Peng Gao;Liangyi Zhao
9 Mean values of divisors twisted by quadratic characters 期刊论文 Gao Peng
10 Moments of central values of cubic Hecke L-functions of Q(i) 期刊论文 Gao Peng;Zhao Liangyi
11 Moments of quadratic Hecke L-functions of imaginary quadratic number fields 期刊论文 Gao Peng;Zhao Liangyi
12 Bounds for moments of quadratic Dirichlet $L$-functions of prime-related moduli 期刊论文 Peng Gao;Liangyi Zhao
13 Moments of quadratic Dirichlet L-functions over function fields 期刊论文 Peng Gao;Liangyi Zhao
14 One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke L-functions 期刊论文 Gao Peng;Zhao Liangyi
15 Bounds for moments of cubic and quartic Dirichlet L-functions 期刊论文 Peng Gao;Liangyi Zhao
16 Average values of quadratic Hecke character sums 期刊论文 Peng Gao;Liangyi Zhao
17 The large sieve with power moduli in imaginary quadratic number fields 期刊论文 Peng Gao;Liangyi Zhao
18 One-level density of low-lying zeros of quadratic Hecke L-functions of imaginary quadratic number fields 期刊论文 Peng Gao;Liangyi Zhao
19 First moments of some Hecke $L$-functions of prime moduli 期刊论文 Peng Gao;Liangyi Zhao
20 First moment of Hecke L-functions with quartic characters at the central point 期刊论文 Gao Peng;Zhao Liangyi
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