On the normal number of prime factors of sums of Fourier coefficients of eigenforms

DOI10.1016/j.jnt.2021.05.015zbMath1492.11089OpenAlexW3186691387WikidataQ114156929 ScholiaQ114156929MaRDI QIDQ2064323

M. Ram Murty, Sudhir Pujahari, V. Kumar Murty

Publication date: 5 January 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.05.015

zbMATH Keywords

Galois representationsChebotarev density theoremnormal order

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Density theorems (11R45)

Related Items (2)

An all-purpose Erdős-Kac theorem ⋮ Divisors of Fourier coefficients of two newforms

Cites Work

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• An analogue of the Erdős-Kac theorem for Fourier coefficients of modular forms
• Prime divisors of Fourier coefficients of modular forms
• Explicit formulae and the Lang-Trotter conjecture
• On \(\ell\)-adic representations attached to modular forms
• Distinguishing Hecke eigenforms
• IMAGES OF ADELIC GALOIS REPRESENTATIONS FOR MODULAR FORMS
• Modular Forms and the Chebotarev Density Theorem

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