Murmurations of Modular Forms and $p$-power Coefficients

Debanjana Kundu; Katharina Mueller

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arXiv · 2507.00738

Murmurations of Modular Forms and $p$-power Coefficients

Debanjana Kundu·Katharina Mueller

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Abstract

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.

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Debanjana Kundu, Katharina Mueller. 2025-07-01. Murmurations of Modular Forms and $p$-power Coefficients. https://arxiv.org/abs/2507.00738

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