Murmurations of Modular Forms and p-power Coefficients

2025/07/01 by Debanjana Kundu, Kundu, Debanjana, Mueller, Katharina · 2 citations
Mathematics · #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2507.00738

openalex publication_date 2025/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Murmurations of modular forms in the weight aspect
• A note on Dirichlet L-functions

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