1 citations · 1 across the 6 of their papers we have counts for
6 papers
On Ramanujan Primes for Hecke-Maass Cusp Forms
Tinghao Huang, Shifan Zhao
For a primitive Hecke-Maass cusp form of level with the -th Hecke eigenvalue and a prime number , the celebrated Ramanujan conjecture at asserts t…
Landau-Siegel zeros of Rankin-Selberg -functions
Jesse Thorner, Shifan Zhao
We establish standard zero-free regions with no exceptional Landau-Siegel zeros for Rankin-Selberg -functions and triple product -functions in several new families for which…
Low-lying zeros of Hilbert modular -functions weighted by powers of central -values
Zhining Wei, Liyang Yang, Shifan Zhao
Let be the set of primitive Hilbert modular forms of weight and prime level , with trivial central character. We s…
Landau-Siegel Zeros of Triple Product L-functions
Shifan Zhao
Let be a number field. Let be cuspidal automorphic representations of , and let be a cuspidal automorphic representation of either $GL_2(\math…
Relative Trace Formula and Uniform non-vanishing of Central -values of Hilbert Modular Forms
Zhining Wei, Liyang Yang, Shifan Zhao
Let be the set of normalized Hilbert newforms of weight and prime level . In this paper, utilizing regularized rel…
Weighted low-lying zeros of L-functions attached to Siegel modular forms
Shifan Zhao
In this paper, we study weighted low-lying zeros of spinor and standard -functions attached to degree 2 Siegel modular forms. We show the symmetry type of weighted low-lying zer…