关注我们：

solidot新版网站常见问题，请点击这里查看。

A simple method to extract the zeros of some Eisenstein series of level $N$. (arXiv:1707.04502v2 [math.NT] UPDATED)

来源于:arXiv
This paper provides a simple method to extract the zeros of some weight two Eisenstein series of level $N$ where $N=2,3,5$ and $7$. We show that $\tilde{E}_N$ is integral over the polynomial ring $M(Sl_2(\mathbb{Z}))=\bigoplus_{k\ge 0}M_k(Sl_2(\mathbb{Z}))$ for these values of $N$; and thus the zeros of $\tilde{E}_N$ are `controlled' by those of $E_4$ and $E_6$ in the fundamental domain of $\Gamma_0(N)$. 查看全文>>