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20172020
most citedModularity of generating series of winding numbers

1 citations · 1 across the 4 of their papers we have counts for

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7 papers

math.NT2020

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…

math.NT2019

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…

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…

math.NT20171 cited

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…

math.NT2017

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…