90 citations · 194 across the 23 of their papers we have counts for
23 papers
Dimension formulas of modular form spaces with character for Fricke groups
Yichao Zhang, Yang Zhou
We first obtain the dimension formulas for the spaces of holomorphic modular forms with character for the Fricke group , then that for with all Atkin-Lehner in…
Rationality of the Petersson Inner Product of Cohen's Kernels
Yuanyi You, Yichao Zhang
By explicitly calculating and then analytically continuing the Fourier expansion of the twisted double Eisenstein series of Diamantis and O'Sullivan, we p…
On Modular Signs Of Half Integral Weights
Bin Chen, Jie Wu, Yichao Zhang
In this paper, we consider the first negative eigenvalue of eigenforms of half-integral weight k + 1/2 and obtain an almost type bound.
Simultaneous nonvanishing of the Products of L-functions associated to elliptic cusp forms
YoungJu Choie, Winfried Kohnen, Yichao Zhang
A generalized Riemann hypothesis states that all zeros of the completed Hecke -function of a normalized Hecke eigenform on the full modular group should lie on th…
Kernels for products of Hilbert L-functions
Y. Choie, Y. Zhang
We study kernel functions of L-functions and products of L-functions of Hilbert cusp forms over real quadratic fields. This extends the results on elliptic modualr forms by Diamant…
Half-Integral Weight Modular Forms and Modular forms for Weil representations
Yichao Zhang
We establish an isomorphism between certain complex-valued and vector-valued modular form spaces of half-integral weight, generalizing the well-known isomorphism between modular fo…