On Spherical $T$-Designs in $\mathbb{R}^2$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909607339753472 |
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| author | Misawa, Ryutaro Nishimura, Yusaku |
| author_facet | Misawa, Ryutaro Nishimura, Yusaku |
| contents | In this paper, we study spherical $T$-designs and their harmonic strength $\text{Hst}(X)$ on the unit circle $S^1$. For any finite set $T\subset\mathbb{N}$, we constructively demonstrate the existence of a finite design $X$ such that $\text{Hst}(X)=T$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06893 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Spherical $T$-Designs in $\mathbb{R}^2$ Misawa, Ryutaro Nishimura, Yusaku Combinatorics 65D32, 05E99 In this paper, we study spherical $T$-designs and their harmonic strength $\text{Hst}(X)$ on the unit circle $S^1$. For any finite set $T\subset\mathbb{N}$, we constructively demonstrate the existence of a finite design $X$ such that $\text{Hst}(X)=T$. |
| title | On Spherical $T$-Designs in $\mathbb{R}^2$ |
| topic | Combinatorics 65D32, 05E99 |
| url | https://arxiv.org/abs/2505.06893 |