Zeros of even and odd period polynomials
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866914001241243648 |
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| author | Ko, Grace Mackenzie, Jennifer Ross, Erick Xue, Hui |
| author_facet | Ko, Grace Mackenzie, Jennifer Ross, Erick Xue, Hui |
| contents | Let $f \in S_k(Γ_0(N))$ be a newform, and let $r_f^{\pm}(X)$ denote its corresponding even and odd period polynomials. For sufficiently large level and weight, we show that the zeros of $r_f^{\pm}(X)$ all lie on the circle $|X| = \frac{1}{\sqrt N}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05670 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Zeros of even and odd period polynomials Ko, Grace Mackenzie, Jennifer Ross, Erick Xue, Hui Number Theory 11F11, 11F67 Let $f \in S_k(Γ_0(N))$ be a newform, and let $r_f^{\pm}(X)$ denote its corresponding even and odd period polynomials. For sufficiently large level and weight, we show that the zeros of $r_f^{\pm}(X)$ all lie on the circle $|X| = \frac{1}{\sqrt N}$. |
| title | Zeros of even and odd period polynomials |
| topic | Number Theory 11F11, 11F67 |
| url | https://arxiv.org/abs/2408.05670 |