A heat kernel associated to Ramanujan’s tau function

James Lee Hafner; Jeffrey Stopple

doi:10.1023/A:1009886102576

Ramanujan Journal

Paper

01 Jan 2000

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 zeta function.

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