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20162026
most citedModularity of generating series of winding numbers

1 citations · 2 across the 16 of their papers we have counts for

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math.NT2018

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…

math.NT2018

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.…

math.NT2018

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…

math.NT2018

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…