8 citations · 35 across the 26 of their papers we have counts for
28 papers
Intersections of special cycles on Shimura curves and Siegel Maass forms
Jan Hendrik Bruinier, Yingkun Li, Martin Möller
We show that the generating series of the number of pairs of geodesics on a compact Shimura curve with given discriminants and intersection angle are coefficients of a non-holomorp…
Atkin polynomials for families of abelian varieties with real multiplication
Gabriele Bogo, Yingkun Li
Generalizing the work of Atkin and Kaneko-Zagier in the elliptic case, we describe the non-ordinary locus of a genus-zero non-compact curve in a Hilbert modular variety in term…
Partial Hasse invariants for genus zero curves in Hilbert modular varieties
Gabriele Bogo, Yingkun Li
We construct characteristic-zero lifts of partial Hasse invariants for genus zero non-compact curves in Hilbert modular varieties. The construction is based on recent results on th…
Motivic action conjecture for Doi-Naganuma lifts
Aleksander Horawa, Yingkun Li
We prove the motivic action conjecture for the base change to real quadratic fields of weight one newforms with odd, squarefree level and solvable projective image.
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…
Isogenies of CM Elliptic Curves
Edgar Assing, Yingkun Li, Tian Wang +1
Given two CM elliptic curves over a number field and a natural number , we establish a polynomial lower bound (in terms of ) for the number of rational primes such that t…
On a Conjecture of Yui and Zagier II
Yingkun Li, Tonghai Yang, Dongxi Ye
Yui and Zagier made some fascinating conjectures on the factorization on the norm of the difference of Weber class invariants based on their…
Laurent expansions of meromorphic modular forms
Gabriele Bogo, Yingkun Li, Markus Schwagenscheidt
In this paper, we study the Laurent coefficients of meromorphic modular forms at CM points by giving two approaches of computing them. The first is a generalization of the method o…
Mock Maass Forms Revisited
Yingkun Li, Christina Roehrig
In this paper, we use theta integrals to give a different construction of mock Maass forms studied by Sander Zwegers. With this method, we construct new real-analytic modular forms…
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,…
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…
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.…
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…
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…
Shintani Lifts of Nearly Holomorphic Modular Forms
Yingkun Li, Shaul Zemel
In this paper, we compute the Fourier expansion of the Shintani lift of nearly holomorphic modular forms. As an application, we deduce modularity properties of generating series of…
On a Conjecture of Yui and Zagier
Yingkun Li, Tonghai Yang
In this paper, we prove the conjecture of Yui and Zagier concerning the factorization of the resultants of minimal polynomials of Weber class invariants. The novelty of our approac…
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…
Modularity of generating series of winding numbers
Jan H. Bruinier, Jens Funke, Özlem Imamoglu +1
The Shimura correspondence connects modular forms of integral weights and half-integral weights. One of the directions is realized by the Shintani lift, where the inputs are holomo…
Petersson Norm of Cusp Forms Associated to Real Quadratic Fields
Yingkun Li
In this article, we compute the Petersson norm of a family of weight one cusp forms constructed by Hecke and express it in terms of the Rademacher symbol and the regulator of real…
Harmonic Eisenstein Series of Weight One
Yingkun Li
In this short note, we will construct a harmonic Eisenstein series of weight one, whose image under the -operator is a weight one Eisenstein series studied by Hecke.
Harmonic Maass forms associated to real quadratic fields
Pierre Charollois, Yingkun Li
In this paper, we explicitly construct harmonic Maass forms that map to the weight one theta series associated by Hecke to odd ray class group characters of real quadratic fields.…