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arXiv · 1709.03633

Zeros of Newform Eisenstein Series on $\Gamma_0(N)$

Thomas Brazelton·Victoria Jakicic
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Abstract

We examine the zeros of newform Eisenstein series $E_{\chi_1,\chi_2,k}(z)$ of weight $k$ on $\Gamma_0(q_1 q_2)$, where $\chi_1$ and $\chi_2$ are primitive characters modulo $q_1$ and $q_2$, respectively. We determine the location and distribution of a significant fraction of the zeros of these Eisenstein series for $k$ sufficiently large.

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Thomas Brazelton, Victoria Jakicic. 2017-09-12. Zeros of Newform Eisenstein Series on $\Gamma_0(N)$. https://arxiv.org/abs/1709.03633

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