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 February 6th, 2013, 06:38 AM #1 Math Team     Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory Tau-Zeta function Consider the following form of Riemann's Zeta : $\sum_{n= 1}^{\infty} \frac{\tau(n)}{n^z}$ Where $\tau$ is the Ramanujan Tau function. Is there any closed form representation for this in terms of Riemann's zeta? NOTE : Working with this form is more interesting because $\tau$ is multiplicative (conjectured by Ramanujan, but it has been proved I think)
 February 6th, 2013, 01:09 PM #2 Senior Member   Joined: Nov 2010 From: Berkeley, CA Posts: 174 Thanks: 35 Math Focus: Elementary Number Theory, Algebraic NT, Analytic NT Re: Tau-Zeta function Search for Tau Dirichlet series. For example, see this article.

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