On Zagier's cusp form and the Ramanujan \(\tau\) function (Q1322364)
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scientific article; zbMATH DE number 562805
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Zagier's cusp form and the Ramanujan \(\tau\) function |
scientific article; zbMATH DE number 562805 |
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On Zagier's cusp form and the Ramanujan \(\tau\) function (English)
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5 May 1994
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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.
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Fourier coefficients
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cusp forms
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Lindelöf hypothesis
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Dirichlet \(L\)- functions
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