A quick proof of Hardy's estimate for Ramanujan function τ(n) |
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Authors: | Carlos J Moreno |
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Institution: | Center for Advanced Study, University of Illinois, Urbana, Illinois 61801 USA |
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Abstract: | In this note we give a proof of the estimate τ(n) = 0(n5σ(n)) for the Ramanujan function τ(n). The proof depends on a double application of the Eichler-Selberg trace formula to the evaluation of the eigenvalues of the Hecke operators. |
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