On Zagier's cusp form and the Ramanujan \(\tau\) function
type: Item
instance of: scholarly article
title: On Zagier's cusp form and the Ramanujan \(\tau\) function
zbMATH Open document ID: 0801.11023
DOI: 10.1007/BF02830876
author: Ashwaq Hashim
author: M. Ram Murty
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1994-05-05T00:00:00Z
review text: The authors use a nonzero cusp form of weight \(k\) for every even integer \(k\geq 12\) constructed by Zagier to estimate Fourier coefficients of cusp forms. In particular they obtain a nontrivial estimate by elementary methods, and indicate a relationship with the Lindelöf hypothesis for classical Dirichlet \(L\)-functions.
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 11F30
zbMATH DE Number: 562805
zbMATH Keywords: Fourier coefficients
zbMATH Keywords: cusp forms
zbMATH Keywords: Lindelöf hypothesis
zbMATH Keywords: Dirichlet \(L\)- functions
reviewed by: Tom M. Apostol
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 562805