The sup-norm problem beyond the newform
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913365944696832 |
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| author | Assing, Edgar |
| author_facet | Assing, Edgar |
| contents | In this note we take up the classical sup-norm problem for automorphic forms and view it from a new angle. Given a twist minimal automorphic representation $π$ we consider a special small $GL_2(\mathbb{Z}_p)$-type $V$ in $π$ and proof global sup-norm bounds for an average over an orthonormal basis of $V$. We achieve a non-trivial saving when the dimension of $V$ grows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_01893 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The sup-norm problem beyond the newform Assing, Edgar Number Theory In this note we take up the classical sup-norm problem for automorphic forms and view it from a new angle. Given a twist minimal automorphic representation $π$ we consider a special small $GL_2(\mathbb{Z}_p)$-type $V$ in $π$ and proof global sup-norm bounds for an average over an orthonormal basis of $V$. We achieve a non-trivial saving when the dimension of $V$ grows. |
| title | The sup-norm problem beyond the newform |
| topic | Number Theory |
| url | https://arxiv.org/abs/2111.01893 |