Murmurations of modular forms and <i>p</i> -power coefficients

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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Publication Details

Journal
Mathematical Proceedings of the Cambridge Philosophical Society
Published
2025-08-26
DOI
https://doi.org/10.1017/s0305004125101515
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00

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article

Murmurations of modular forms and p -power coefficients

Debanjana Kundu, Katharina Müller
Mathematical Proceedings of the Cambridge Philosophical Society
Advanced Algebra and Geometry
article

Murmurations of modular forms and p -power coefficients

Debanjana Kundu, Katharina Müller
article en

Abstract

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.

Mathematical Proceedings of the Cambridge Philosophical SocietyVol. 180(1)
University of Regina (CA), Universität der Bundeswehr München (DE)
University of Texas Rio Grande Valley
Openalex Percentile: Top 72%
Advanced Algebra and Geometry
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