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Thomas Brazelton

Publications and source records attributed to Thomas Brazelton.

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Zeros of Newform Eisenstein Series on $Γ_0(N)$

We examine the zeros of newform Eisenstein series $E_{χ_1,χ_2,k}(z)$ of weight $k$ on $Γ_0(q_1 q_2)$, where $χ_1$ and $χ_2$ 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.

math.NT↗