18 citations · 52 across the 17 of their papers we have counts for
17 papers
Comparison of canonical periods under base change
Qingshen Lv, Bingyong Xie
In this paper we prove the canonical period of a Hilbert modular form with respect to the base change of a real quadratic extension differs from the square of its own canonical per…
Hilbert modular forms and class numbers
Qinyun Tan, Bingyong Xie
In 1975, Goldfeld gave an effective solution to Gauss's conjecture on the class numbers of imaginary quadratic fields. In this paper, we generalize Goldfeld's theorem to the settin…
Special values of spectral zeta functions and combinatorics: Sturm-Liouville problems
Bing Xie, Yigeng Zhao, Yongqiang Zhao
In this paper, we apply the combinatorial results on counting permutations with fixed pinnacle and vale sets to evaluate the special values of the spectral zeta functions of Sturm-…
Special values of spectral zeta functions of graphs and Dirichlet L-functions
Bing Xie, Yigeng Zhao, Yongqiang Zhao
In this paper, we establish relations between special values of Dirichlet -functions and that of spectral zeta functions or -functions of cycle graphs. In fact, they determin…
A generalization of Colmez-Greenberg-Stevens formula
Bingyong Xie
In this paper we study the derivatives of Frobenius and the derivatives of Hodge-Tate weights for families of Galois representations with triangulations. We give a generalization o…
Anticyclotomic exceptional zero phenomenon for Hilbert modular forms
Bingyong Xie
In this paper we study the exceptional zero phenomenon for Hilbert modular forms in the anticyclotomic setting. We prove a formula expressing the leading term of the p-adic L-funct…