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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2603.28229 |
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| _version_ | 1866915899039023104 |
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| author | Neuwirth, Stefan |
| author_facet | Neuwirth, Stefan |
| contents | This constant is the maximum of the sum $|c_0|+|c_1|+|c_2|+|c_3|$ of the moduli of the coefficients of a trigonometric polynomial $c_0+c_1e^{it}+c_2e^{2it}+c_3e^{3it}$ bounded by 1. Its value is still unknown, but I will present some ideas on how to compute it and describe a distinguished torus of extremal functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28229 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the (Fourier analytic) Sidon constant of {0,1,2,3} Neuwirth, Stefan Functional Analysis This constant is the maximum of the sum $|c_0|+|c_1|+|c_2|+|c_3|$ of the moduli of the coefficients of a trigonometric polynomial $c_0+c_1e^{it}+c_2e^{2it}+c_3e^{3it}$ bounded by 1. Its value is still unknown, but I will present some ideas on how to compute it and describe a distinguished torus of extremal functions. |
| title | On the (Fourier analytic) Sidon constant of {0,1,2,3} |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2603.28229 |