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math.NT2021
Algebraicity of higher Green functions at a CM point
Yingkun Li
In this paper, we investigate the algebraic nature of the value of a higher Green function on an orthogonal Shimura variety at a single CM point. This is motivated by a conjecture…
math.NT2021
Mock Modular Forms with Integral Fourier Coefficients
Yingkun Li, Markus Schwagenscheidt
In this note, we explicitly construct mock modular forms with integral Fourier coefficients by evaluating regularized Petersson inner products involving their shadows, which are un…