[seqfan] Re: Dirichlet eta function and Stirling Permutations

[Fred Lunnon]

I do not see any implication of a direct connection. The actual quotation reads

<< The SF(z; n) formulas, see below, were discovered while studying
certain properties of the Dirichlet eta function. >>

where the relation of these polynomials to the \eta function is
moderately complicated.
But maybe RWG & Co. can cast more light?

WFL



On 8/12/18, Mario Krenn <mario.krenn at univie.ac.at> wrote:
> The sequence A156919 <https://oeis.org/A156919> apparently indicates a
> connection between Stirling permutations and the Dirichlet η-function:
> "Stirling permutations were discovered while studying certain properties
> of the Dirichlet eta function."
>
> Unfortunately, there is no further explanation of that connection, and
> literature search didn't lead to any result.
> I have asked that question also at mathoverflow, where there is no
> answere yet:
> https://mathoverflow.net/questions/308107/dirichlet-eta-function-and-stirling-permutations
>
> I would very much like to understand in which context the Stirling
> permutation arise in the study of the Dirichlet eta function. Every hint
> or reference to the literature is very much apprechiated.
>
> Thank you,
> Mario
>
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