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

[jean-paul allouche]

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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