4 papers
math.NT2020
Hecke-type identities associated with definite quadratic forms
Bing He
Since the study by Jacobi and Hecke, Hecke-type series have received a lot of attention. Unlike such series associated with indefinite quadratic forms, identities on Hecke-type ser…
math.NT2020
Hecke-type series involving infinite products
Bing He
Since the study by Jacobi and Hecke, Hecke-type series have received extensive attention. Especially, Hecke-type series involving infinite products have attracted broad interest am…
math.GM2019
On certain q-trigonometric identities
Bing He
Finding theta function (or -)analogues for well-known trigonometric identities is an interesting topic. In this paper, we first introduce the definition of -analogues for $\m…
math.CA2016
On zeros of some entire functions
Bing He
Let \begin{equation*} A_{q}^{(α)}(a;z) = \sum_{k=0}^{\infty} \frac{(a;q)_{k} q^{αk^2} z^k} {(q;q)_{k}}, \end{equation*} where In a paper of Ruiming Zhang, he asked un…