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arXiv · 2603.25564

Murmurations in the depth aspect

Claire Burrin·Vivian Kuperberg·Min Lee·Catinca Mujdei·Hsin-Yi Yang
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Abstract

We compute the murmuration density function for the family of Hecke forms of weight $k$ and prime power level $N=\ell^a$, with $\ell$ a fixed odd prime and $a\to \infty$.

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Claire Burrin, Vivian Kuperberg, Min Lee, Catinca Mujdei, Hsin-Yi Yang. 2026-07-08. Murmurations in the depth aspect. https://arxiv.org/abs/2603.25564

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