18 citations · 181 across the 86 of their papers we have counts for
87 papers
Large values of cubic and quartic Dirichlet -functions of prime moduli
Peng Gao, Liangyi Zhao
In this paper, we apply the resonator method to exhibit large values at the central point of the families of cubic and quartic Dirichlet -functions of prime moduli under the gen…
Murmurations of quadratic Hecke -functions of the Gaussian field
Peng Gao, Liangyi Zhao
In this paper, we evaluate the murmuration density for the family of quadratic Hecke -functions of the Gaussian field under the generalized Riemann hypothesis.
High moments of random multiplicative functions twisted by Fourier coefficients of modular forms
Peng Gao, Liangyi Zhao
Let denote the Fourier coefficients of a fixed modular form and a Steinhaus or Rademacher random multiplicative function. In this paper, we determine, under the gener…
Low moments of random multiplicative functions twisted by Fourier coefficients of modular forms
Peng Gao, Liangyi Zhao
Let denote the Fourier coefficients of a fixed modular form and a Steinhaus or Rademacher random multiplicative function. In this paper, we determine the order of mag…
Shifted moments of modular -functions to a fixed level
Peng Gao, Liangyi Zhao
We establish upper bounds for shifted moments of modular -functions to a fixed prime level under the generalized Riemann hypothesis.
First Moment of Quadratic Hecke -Functions with Lower Order Term
Peng Gao, Liangyi Zhao
We evaluate the first moment of the family of primitive quadratic Hecke -functions in the Gaussian field using the method of double Dirichlet series under the Riemann hypothesis…