Application of Meyer's theorem on quasicrystals to exponential polynomials and Dirichlet series
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916477202857984 |
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| author | Favorov, Sergii |
| author_facet | Favorov, Sergii |
| contents | A simple necessary and sufficient condition is given for an absolutely convergent Dirichlet series with imaginary exponents and only real zeros to be a finite product of sines. The proof is based on Meyer's theorem on quasicrystals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07190 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Application of Meyer's theorem on quasicrystals to exponential polynomials and Dirichlet series Favorov, Sergii Complex Variables Functional Analysis 30B50, 42A38, 52C23 A simple necessary and sufficient condition is given for an absolutely convergent Dirichlet series with imaginary exponents and only real zeros to be a finite product of sines. The proof is based on Meyer's theorem on quasicrystals. |
| title | Application of Meyer's theorem on quasicrystals to exponential polynomials and Dirichlet series |
| topic | Complex Variables Functional Analysis 30B50, 42A38, 52C23 |
| url | https://arxiv.org/abs/2411.07190 |