Murmurations of Modular Forms and $p$-power Coefficients
Number Theory
2025-07-02 v1
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.
Keywords
Cite
@article{arxiv.2507.00738,
title = {Murmurations of Modular Forms and $p$-power Coefficients},
author = {Debanjana Kundu and Katharina Mueller},
journal= {arXiv preprint arXiv:2507.00738},
year = {2025}
}
Comments
Accepted for publication (Math. Proc. Camb. Philos. Soc.). This version has more details than the accepted journal version