4 papers
Twisted Siegel-Weil formulas for over non-Galois quartic CM fields
Mingkuan Zhang
We establish twisted Siegel-Weil formulas for non-Galois quartic CM fields, identifying the twisted theta integral against a quadratic character with the Doi-Naganuma lift of Hecke…
Hilbert Eisenstein series as Doi-Naganuma lift
Yingkun Li, Mingkuan Zhang
In this paper, we show that incoherent Hilbert Eisenstein series for a real quadratic fields can be expressed as the Doi-Naganums lift of an incoherent Eisenstein series over $\mat…
Hilbert Poincaré series and kernels for products of -functions
Mingkuan Zhang, Yichao Zhang
We study Hilbert Poincaré series associated to general seed functions and construct Cohen's kernels and double Eisenstein series as series of Hilbert Poincaré series. Then we calcu…
On the non-vanishing of Hilbert Poincaré series
Mingkuan Zhang, Yichao Zhang
We prove that if has small norm with respect to the level and the weight, the -th Hilbert Poincaré series does not vanish identically. We also prove Selberg's identity on Kl…