English

Murmurations in the depth aspect

Number Theory 2026-03-27 v1

Abstract

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

Cite

@article{arxiv.2603.25564,
  title  = {Murmurations in the depth aspect},
  author = {Claire Burrin and Vivian Kuperberg and Min Lee and Catinca Mujdei and Hsin-Yi Yang},
  journal= {arXiv preprint arXiv:2603.25564},
  year   = {2026}
}
R2 v1 2026-07-01T11:39:26.331Z