[seqfan] Re: Trying to hold of article by Peter Kiss on iterated number theory functions

[Neil Sloane]

Dear Jean-Paul,  Thank you for locating the Kiss article.  That was
extremely helpful.
I am in the process of adding several sequences from it. In particular,
A306958 onwards (although not all of them are finished yet).

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com



On Mon, Mar 18, 2019 at 5:10 AM jean-paul allouche <
jean-paul.allouche at imj-prg.fr> wrote:

> Dear Neil
>
> Not sure that this helps, but there is a version of this paper in Hungarian
> at http://real-j.mtak.hu/9373/1/MTA_MatematikaiLapok_1974.pdf
> between page 145 and page 149 (summary in English on page 149)
> (note that the download may take some time)
>
> best wishes
> jean-paul
>
>
>
> Le 17/03/2019 à 07:47, Neil Sloane a écrit :
> > I came across a survey article by H. J. J. te Riele  (Iteration of
> > Number-Theoretic Functions, Nieuw Archief., 1 (1983), 345-360) which
> > mentions an article by Peter Kiss:
> >
> > MR0472667 (57 #12362) Reviewed
> > Kiss, Péter
> > A generalization of a problem in number theory.
> > Math. Sem. Notes Kobe Univ. 5 (1977), no. 3, 313–317.
> > 10A30  Reviewed by A. G. Shannon
> > <
> https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=198205>
> >
> > The review says that it considers map on numbers such as f : n -> sum of
> > factorials of digits in decimal expansion of n, and apparently shows
> that a
> > large class of such functions have the property that when they are
> iterated
> > they must cycle.  Rutgers Library hasn't heard of the journal (which
> > apparently is now called the Kobe Journal of Mathematics).
> > Can anyone locate a copy?
> > (If so, please post a note here, to avoid duplication of effort)
> >
> > One of the sequences that arises from this work is A014080.
> >
> > Best regards
> > Neil
> >
> > Neil J. A. Sloane, President, OEIS Foundation.
> > 11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
> > Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
> > Phone: 732 828 6098; home page: http://NeilSloane.com
> > Email: njasloane at gmail.com
> >
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