3 papers
math.NT2019
On Decomposition of as the Sum of Lambert Series and Cusp forms
Dandan Chen, Rong Chen
Based on the values of the Weierstrass elliptic function at , and the theory of modular forms on the arithmetic group $Γ_0(2…
math.NT2019
On a class of elliptic functions associated with the even Dirichlet characters
Dandan Chen, Rong Chen
We construct a class of companion elliptic functions associated with the even Dirichlet characters. Using the well-known properties of the classical Weierstrass elliptic function $…
math.NT2018
Representations of mock theta functions
Dandan Chen, Liuquan Wang
Motivated by the works of Liu, we provide a unified approach to find Appell-Lerch series and Hecke-type series representations for mock theta functions. We establish a number of pa…