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Murmurations of Modular Forms and $p$-power Coefficients

Published 1 Jul 2025 in math.NT | (2507.00738v1)

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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