Multidimensional small divisor functions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866929387417370624 |
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| author | Mono, Andreas |
| author_facet | Mono, Andreas |
| contents | This is a short note generalizing the construction from arXiv:1906.07410, arXiv:2009.04955 to multi-indices. We recommend to consider both references first. We obtain polar harmonic Maaß forms of non-positive integral weight if the dimension is even and greater than $2$. We provide explicit examples in dimension $4$, $6$, $8$, and $10$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_14652 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Multidimensional small divisor functions Mono, Andreas Number Theory This is a short note generalizing the construction from arXiv:1906.07410, arXiv:2009.04955 to multi-indices. We recommend to consider both references first. We obtain polar harmonic Maaß forms of non-positive integral weight if the dimension is even and greater than $2$. We provide explicit examples in dimension $4$, $6$, $8$, and $10$. |
| title | Multidimensional small divisor functions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2009.14652 |