Murmurations of modular forms and p-power coefficients

Authors

Debanjana Kundu, The University of Texas Rio Grande ValleyFollow
Katharina Müller

Document Type

Article

Publication Date

8-26-2025

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.

Comments

© The Author(s), 2025. Published by Cambridge University Press on behalf of Cambridge Philosophical Society

Recommended Citation

Kundu, Debanjana, and Katharina Müller. 2025. “Murmurations of Modular Forms and P-Power Coefficients.” Mathematical Proceedings of the Cambridge Philosophical Society, August 26, 1–28. https://doi.org/10.1017/S0305004125101515.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

Mathematical Proceedings of the Cambridge Philosophical Society

DOI

10.1017/S0305004125101515