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February 6th, 2013, 05:38 AM   #1
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Tau-Zeta function

Consider the following form of Riemann's Zeta :

Where 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 is multiplicative (conjectured by Ramanujan, but it has been proved I think)
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February 6th, 2013, 12:09 PM   #2
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Re: Tau-Zeta function

Search for Tau Dirichlet series. For example, see this article.
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