8 citations · 35 across the 26 of their papers we have counts for
4 papers · 1 filter
Average CM-values of Higher Green's Function and Factorization
Yingkun Li
In this paper, we prove an averaged version of an algebraicity conjecture in \cite{GKZ87} concerning the values of higher Green's function at CM points. Furthermore, we give the fa…
Singular Units and Isogenies Between CM Elliptic Curves
Yingkun Li
In this note, we will apply the results of Gross-Zagier, Gross-Kohnen-Zagier and their generalizations to give a short proof that the differences of singular moduli are not units.…
A magnetic modular form
Yingkun Li, Michael Neururer
In this paper, we prove a conjecture of Broadhurst and Zudilin \cite{BZ17} concerning a divisibility property of the Fourier coefficients of a meromorphic modular form using the ge…
An explicit construction of non-tempered cusp forms on
Yingkun Li, Hiro-aki Narita, Ameya Pitale
We explicitly construct cusp forms on the orthogonal group of signature for an arbitrary natural number as liftings from Maass cusp forms of level one. In our previo…