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TheWeyl law for algebraic tori.

Authors :
Petrow, Ian
Source :
Journal of the European Mathematical Society (EMS Publishing). 2024, Vol. 26 Issue 7, p2441-2532. 92p.
Publication Year :
2024

Abstract

We give an asymptotic evaluation for the number of automorphic characters of an algebraic torus T with bounded analytic conductor. The analytic conductor is defined via the local Langlands correspondence for tori by choosing a finite-dimensional complex algebraic representation of the L-group of T . Our results therefore fit into a general framework of counting automorphic representations on reductive groups by analytic conductor. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14359855
Volume :
26
Issue :
7
Database :
Academic Search Index
Journal :
Journal of the European Mathematical Society (EMS Publishing)
Publication Type :
Academic Journal
Accession number :
178010061
Full Text :
https://doi.org/10.4171/JEMS/1465