Refined Limit Multiplicity for Varying Conductor

DOI10.1093/IMRN/RNW205zbMATH Open1405.22012arXiv1601.07419OpenAlexW2963267248MaRDI QIDQ4612072

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Publication date: 22 January 2019

Published in: (Search for Journal in Brave)

Abstract: Recent results by Abert, Bergeron, Biringer et al., Finis, Lapid and Mueller, and Shin and Templier have extended the limit multiplicity property to quite general classes of groups and sequences of level subgroups. Automorphic representations in the limit multiplicity problem are traditionally counted with multiplicity according to the number of fixed vectors of a level subgroup; our goal is to perform a slightly more refined analysis and count only automorphic representations with a given conductor with multiplicity 1.

Full work available at URL: https://arxiv.org/abs/1601.07419

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