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

Neil Sloane njasloane at gmail.com
Sun Mar 17 07:47:16 CET 2019


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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