Iterates of the unitary totient function

Lal, Mohan

doi:10.1090/S0025-5718-1974-0335419-3

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

Iterates of the unitary totient function
HTML articles powered by AMS MathViewer

by Mohan Lal PDF

Math. Comp. 28 (1974), 301-302 Request permission

Abstract:

The iterates of the unitary analogue of Euler’s totient function ${\varphi ^\ast }(n)$ are investigated empirically for $n \leqq {10^5}$.

References

Peter Hagis Jr., Unitary amicable numbers, Math. Comp. 25 (1971), 915–918. MR 299551, DOI 10.1090/S0025-5718-1971-0299551-2
P. Erdős and M. V. Subbarao, On the iterates of some arithmetic functions, The theory of arithmetic functions (Proc. Conf., Western Michigan Univ., Kalamazoo, Mich., 1971) Lecture Notes in Math., Vol. 251, Springer, Berlin, 1972, pp. 119–125. MR 0332686
S. Sivasankaranarayana Pillai, On a function connected with $\phi (n)$, Bull. Amer. Math. Soc. 35 (1929), no. 6, 837–841. MR 1561820, DOI 10.1090/S0002-9904-1929-04800-6