Murmurations of Modular Forms and $p$-power Coefficients
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916819668828160 |
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| author | Kundu, Debanjana Mueller, Katharina |
| author_facet | Kundu, Debanjana Mueller, Katharina |
| contents | We extend the work of N. Zubrilina on murmuration of modular forms to the case when prime-indexed coefficients are replaced by squares of primes. Our key observation is that the shape of the murmuration density is the same. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00738 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Murmurations of Modular Forms and $p$-power Coefficients Kundu, Debanjana Mueller, Katharina Number Theory We extend the work of N. Zubrilina on murmuration of modular forms to the case when prime-indexed coefficients are replaced by squares of primes. Our key observation is that the shape of the murmuration density is the same. |
| title | Murmurations of Modular Forms and $p$-power Coefficients |
| topic | Number Theory |
| url | https://arxiv.org/abs/2507.00738 |