The Weyl law for algebraic tori

  • Ian Petrow

    ETH Zürich, Zürich, Switzerland
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Abstract

We give an asymptotic evaluation for the number of automorphic characters of an algebraic torus 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 -group of . Our results therefore fit into a general framework of counting automorphic representations on reductive groups by analytic conductor.

Cite this article

Ian Petrow, The Weyl law for algebraic tori. J. Eur. Math. Soc. 26 (2024), no. 7, pp. 2441–2532

DOI 10.4171/JEMS/1465