[seqfan] Re: Wrong formula in Wolfram functions

Wouter Meeussen wouter.meeussen at telenet.be
Sat Mar 31 16:01:07 CEST 2012

Enrique, funny:

my version 4.1 gives it correctly as
Sum[MoebiusMu[k]^2/k^s, {k, 1, Infinity}]  ==> Zeta[s]/Zeta[2s]

but then it garbles this one:
Sum[ EulerPhi[k]/k^s, {k, 1,Infinity}]  =/=> Zeta[-1 + s] Zeta[s]
should be  Zeta[-1 + s] / Zeta[s]

New Versions? hmm,
"plus ça change, plus ça reste la même chose"?
or: "you can prove the presence of bugs, but never the absence of'm"


-----Original Message----- 
From: Psychedelic Geometry
Sent: Friday, March 30, 2012 10:02 PM
To: Sequence Fanatics Discussion list
Subject: [seqfan] Wrong formula in Wolfram functions

Hello, world:


I?ve found that this formula that must be Zeta(k)/Zeta(2k) (This is summing
reciprocal powers of the squarefree numbers)

Please do not try to disprove Riemann Hypothesis this weekend using this

Once I?ve found the speck that is in Wolfram's eye, I will keep searching
the log in mine.

Best Regards, Enrique.


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