Zhao, Liangyi

Zhao L is a mathematician specializing in number theory, with a focus on L-functions, Hecke characters, and analytic number theory. Their research includes the study of moments of Dirichlet L-functions, low-lying zeros of L-functions, and the application of the ratios conjecture to problems in analytic number theory. Zhao has also worked on the large sieve, character sums, and the distribution of values of L-functions over number fields such as the Gaussian field and imaginary quadratic fields. Their work often involves deep connections between algebraic number theory and analytic methods, contributing to the understanding of the behavior of L-functions in various families.

Liangyi Zhao is a researcher in analytic number theory, focusing on the distribution of primes and zeros of L-functions. His work includes large sieve inequalities, averages of shifted convolutions, and the study of low-lying zeros of Hecke functions. Zhao's research also explores moments of central values of Dirichlet L-functions and the behavior of Hecke eigenvalues. His publications address topics such as quadratic progressions, Beatty sequences, and the Sato-Tate conjecture on average. Zhao's contributions highlight the interplay between analytic methods and number-theoretic problems, with an emphasis on modular forms and character sums.