Peng Gao

activity

20072026

most cited

n

-level density of the low-lying zeros of quadratic Dirichlet

L

-functions

39 citations · 227 across the 91 of their papers we have counts for

collaborators

Showing 2023Show all

7 papers · 1 filter

math.NT2023★ 2 cited

Ratios conjecture for primitive quadratic Hecke $L$ -functions

Peng Gao, Liangyi Zhao

We develop the ratios conjecture with one shift in the numerator and denominator in certain ranges for families of primitive quadratic Hecke $L$ -functions of imaginary quadratic nu…

math.NT2023

First moment of central values of some primitive Dirichlet $L$ -functions with fixed order characters

Peng Gao, Liangyi Zhao

We evaluate asymptotically the smoothed first moment of central values of families of primitive cubic, quartic and sextic Dirichlet $L$ -functions, using the method of double Dirich…

math.NT2023

First moment of central values of Hecke $L$ -functions with Fixed Order Characters

Peng Gao, Liangyi Zhao

We evaluate asymptotically the smoothed first moment of central values of families of quadratic, cubic, quartic and sextic Hecke $L$ -functions over various imaginary quadratic numb…

math.NT2023★ 2 cited

Ratios conjecture for quadratic twist of modular $L$ -functions

Peng Gao, Liangyi Zhao

We develop the $L$ -functions ratios conjecture with one shift in the numerator and denominator in certain ranges for the family of quadratic twist of modular $L$ -functions using mu…

math.NT2023

First moment of central values of quadratic Dirichlet $L$ -functions

Peng Gao, Liangyi Zhao

We evaluate the first moment of central values of the family of quadratic Dirichlet $L$ -functions using the method of double Dirichlet series. Under the generalized Riemann hypothe…

math.NT2023★ 1 cited

Negative first moment of quadratic twists of $L$ -functions

Peng Gao, Liangyi Zhao

We evaluate asymptotically the negative first moment at points larger than $1/2$ of the family of quadratic twists of automorphic $L$ -functions using multiple Dirichlet series unde…

Ratios conjecture for primitive quadratic Hecke L-functions

First moment of central values of some primitive Dirichlet L-functions with fixed order characters

First moment of central values of Hecke L-functions with Fixed Order Characters

Ratios conjecture for quadratic twist of modular L-functions

First moment of central values of quadratic Dirichlet L-functions

Negative first moment of quadratic twists of L-functions

Ratios conjecture for primitive quadratic Hecke $L$ -functions

First moment of central values of some primitive Dirichlet $L$ -functions with fixed order characters

First moment of central values of Hecke $L$ -functions with Fixed Order Characters

Ratios conjecture for quadratic twist of modular $L$ -functions

First moment of central values of quadratic Dirichlet $L$ -functions

Negative first moment of quadratic twists of $L$ -functions