A central limit theorem for Ramanujan's tau function

DOI10.1007/s11139-011-9367-1zbMath1277.11094OpenAlexW2004232811MaRDI QIDQ1927673

Peter D. T. A. Elliott

Publication date: 2 January 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-011-9367-1

zbMATH Keywords

central limit theoremmodular functionRamanujan tau function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Fourier coefficients of automorphic forms (11F30) Applications of sieve methods (11N36) Holomorphic modular forms of integral weight (11F11) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (3)

Additive and multiplicative functions from Nottingham to Urbana-Champaign ⋮ On the typical size and cancellations among the coefficients of some modular forms ⋮ Central limit theorems for classical cusp forms

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• Quelques applications du théorème de densité de Chebotarev
• La conjecture de Weil. I
• The Norms of Compositions of Arithmetic Operators
• Odd values of the Ramanujan $\tau$-function
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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