Explicit constants for Fejer-type smoothing on finite cyclic groups
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911299071377408 |
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| author | Grieshop, Justin |
| author_facet | Grieshop, Justin |
| contents | We study a Fejer-type smoothing kernel on the finite cyclic group Z/NZ. For each smoothing radius we give explicit l1 and l2 norms, compute the discrete Fourier transform, and record bounds that are uniform in N. As an application we prove a smoothed discrepancy estimate with explicit constants that can be used in quantitative problems on finite cyclic groups. The arguments are elementary and the note is intended as a self contained reference. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03085 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Explicit constants for Fejer-type smoothing on finite cyclic groups Grieshop, Justin General Mathematics 42A16, 11K38 We study a Fejer-type smoothing kernel on the finite cyclic group Z/NZ. For each smoothing radius we give explicit l1 and l2 norms, compute the discrete Fourier transform, and record bounds that are uniform in N. As an application we prove a smoothed discrepancy estimate with explicit constants that can be used in quantitative problems on finite cyclic groups. The arguments are elementary and the note is intended as a self contained reference. |
| title | Explicit constants for Fejer-type smoothing on finite cyclic groups |
| topic | General Mathematics 42A16, 11K38 |
| url | https://arxiv.org/abs/2512.03085 |