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Bibliographic Details
Main Authors: Bhagwat, Chandrasheel, Mondal, Sudipa
Format: Preprint
Published: 2020
Subjects:
Online Access:https://arxiv.org/abs/2011.01598
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Table of Contents:
  • In this article, we establish an asymptotic estimate on the number of cuspidal automorphic representations of ${\rm GL}_4(\mathbb A_{\mathbb Q})$ which contribute to the cuspidal cohomology of ${\rm GL}_4$ and are obtained from symmetric cube transfer of automorphic representations of ${\rm GL}_2(\mathbb A_{\mathbb Q})$ of a given weight and with varying level structure. This generalises the recent work of C. Ambi [2020] about the similar problem for ${\rm GL}_3$.