On algebraic degrees of inverted Kloosterman sums
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914882556788736 |
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| author | Lin, Xin Wan, Daqing |
| author_facet | Lin, Xin Wan, Daqing |
| contents | The study of $n$-dimensional inverted Kloosterman sums was suggested by Katz (1995) who handled the case when $n=1$ from complex point of view. For general $n\geq 1$, the $n$-dimensional inverted Kloosterman sums were studied from both complex and $p$-adic point of view in our previous paper. In this note, we study the algebraic degree of the inverted $n$-dimensional Kloosterman sum as an algebraic integer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16229 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On algebraic degrees of inverted Kloosterman sums Lin, Xin Wan, Daqing Number Theory 11T23, 11L05 The study of $n$-dimensional inverted Kloosterman sums was suggested by Katz (1995) who handled the case when $n=1$ from complex point of view. For general $n\geq 1$, the $n$-dimensional inverted Kloosterman sums were studied from both complex and $p$-adic point of view in our previous paper. In this note, we study the algebraic degree of the inverted $n$-dimensional Kloosterman sum as an algebraic integer. |
| title | On algebraic degrees of inverted Kloosterman sums |
| topic | Number Theory 11T23, 11L05 |
| url | https://arxiv.org/abs/2407.16229 |