Re^3: (-1)SSU

Richard Mathar mathar at strw.leidenuniv.nl
Sat Oct 28 15:04:49 CEST 2006


rg> From seqfan-owner at ext.jussieu.fr  Sat Oct 28 09:22:08 2006
rg> Date: Sat, 28 Oct 2006 00:25:38 -0600 (MDT)
rg> From: Richard Guy <rkg at cpsc.ucalgary.ca>
rg> To: koh <zbi74583 at boat.zero.ad.jp>
rg> cc: seqfan at ext.jussieu.fr
rg> Subject: Re: RE :(-1)SSU
rg> 
rg> Please define (-1)SSU
rg>                (-1)Sigma(n)
rg>                UnitaryPhi(n)
rg> R.

(-1)Sigma is A049060(n) .
UnitaryPhi is A047994(n) .
(-1)SSU and (-1)SUU  amicable numbers/pairs are implicitly defined by the
equations/properties given, to quote

yk>     I calculated (-1)SSU Amicable Number.
yk>
yk>     (-1)Sigma(m)*Sigma(m)/UnitaryPhi(m)=k(m+n)
yk>     (-1)Sigma(n)*Sigma(n)/UnitaryPhi(n)=k(m+n) , for some integer k.
            ^        ^        ^

yk>    (-1)SUU Amicable Number :
yk>
yk>         (-1)Sigma(m)*USigma(m)/UnitaryPhi(m)=k(m+n)
yk>         (-1)Sigma(n)*USigma(n)/UnitaryPhi(n)=k(m+n) , for some integer k.
                ^        ^         ^

and are acronyms from the leading letters in the definitions, which I
accentuated above.

RJM






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