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arXiv · 2105.02068

Conductor zeta function for the GL(2) universal family

Farrell Brumley·Didier Lesesvre·Djordje Milićević
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Abstract

We obtain a Weyl law with power savings for the universal families of cuspidal automorphic representations, ordered by analytic conductor, of $\mathrm{GL}_2$ over $\mathbb{Q}$, as well as for Hecke characters over any number field. The method proceeds by establishing the requisite analytic properties of the underlying conductor zeta function.

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Farrell Brumley, Didier Lesesvre, Djordje Milićević. 2021-05-05. Conductor zeta function for the GL(2) universal family. https://arxiv.org/abs/2105.02068

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