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A Heat Kernel Associated to Ramanujan's Tau Function

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Abstract

We prove a conjecture of Zagier, that the inverse Mellin transform of the symmetric square L-function attached to Ramanujan's tau function has an asymptotic expansion in terms of the zeros of the Riemann function.

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Hafner, J.L., Stopple, J. A Heat Kernel Associated to Ramanujan's Tau Function. The Ramanujan Journal 4, 123–128 (2000). https://doi.org/10.1023/A:1009886102576

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  • DOI: https://doi.org/10.1023/A:1009886102576

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