Fourier transform in cyclic groups
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916315141242880 |
|---|---|
| author | Benoist, Yves |
| author_facet | Benoist, Yves |
| contents | On a cyclic group of prime order, the non-trivial Dirichlet characters together with their Fourier transforms have constant modulus outside 0 and vanish at 0. Answering a question of H. Cohn, we construct new functions with these properties. The proof relies on Floer homology. We also apply this method to the biunimodular functions problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11529 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fourier transform in cyclic groups Benoist, Yves Number Theory On a cyclic group of prime order, the non-trivial Dirichlet characters together with their Fourier transforms have constant modulus outside 0 and vanish at 0. Answering a question of H. Cohn, we construct new functions with these properties. The proof relies on Floer homology. We also apply this method to the biunimodular functions problem. |
| title | Fourier transform in cyclic groups |
| topic | Number Theory |
| url | https://arxiv.org/abs/2406.11529 |