The Weyl law for algebraic tori
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866914693947326464 |
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| author | Petrow, Ian |
| author_facet | Petrow, Ian |
| contents | We give an asymptotic evaluation for the number of automorphic characters of an algebraic torus $T$ with bounded analytic conductor. The analytic conductor which we use 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1808_09991 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | The Weyl law for algebraic tori Petrow, Ian Number Theory Representation Theory 11F55 11F66 We give an asymptotic evaluation for the number of automorphic characters of an algebraic torus $T$ with bounded analytic conductor. The analytic conductor which we use 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. |
| title | The Weyl law for algebraic tori |
| topic | Number Theory Representation Theory 11F55 11F66 |
| url | https://arxiv.org/abs/1808.09991 |