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math.NT2022★ 1 cited
Harmonic Maass forms associated with CM newforms
Stephan Ehlen, Yingkun Li, Markus Schwagenscheidt
In this paper, we use a regularized theta lifting to construct harmonic Maass forms corresponding to binary theta functions of weight under the -operator. As a result,…
math.NT2022
Span of Restriction of Hilbert Theta Functions
Gabriele Bogo, Yingkun Li
In this paper, we study the diagonal restrictions of certain Hilbert theta series for a totally real field , and prove that they span the corresponding space of elliptic modular…
math.NT2022
Deformations of Theta Integrals and A Conjecture of Gross-Zagier
Jan H. Bruinier, Yingkun Li, Tonghai Yang
In this paper, we complete the proof of the conjecture of Gross and Zagier concerning algebraicity of higher Green functions at a single CM point on the product of modular curves.…