Number of Prime Divisors ofϕk(n), whereϕkIs thek-fold Iterate ofϕ-Reference-Cited by-同舟云学术

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Number of Prime Divisors ofϕk(n), whereϕkIs thek-fold Iterate ofϕ

Published:1997-08 Issue:2 Volume:65 Page:226-239
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Bassily N.L,Kátai I,Wijsmuller M

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference10 articles.

1. On the large sieve;Bombieri;Mathematika,1965

2. Probabilistic Number Theory;Elliot,1980

3. P. Erdös, A. Granville, C. Pomerance, C. Spiro, 1990, On the normal behaviour of the iterates of some arithmetic functions, Analytic Number Theory, Proc. Conf. in honor of Paul T. Bateman, B. C. Berndt, Eds. 165, 204, Birkhäuser, Boston

4. On the normal number of prime factors ofϕn;Erdös;Rocky Mountain J.,1985

5. Sieve Methods;Halberstam,1974

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Generalizations of the Erdős–Kac Theorem and the Prime Number Theorem;Communications in Mathematics and Statistics;2023-09-13

2. On the equations ϕ(n) = ϕ(n + k) and ϕ(p − 1) = ϕ(q − 1);International Journal of Number Theory;2020-11-18

3. On the $k$-fold iterate of the sum of divisors function;Colloquium Mathematicum;2017

4. On the positive integers satisfying the equation _{}=²+²;Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms;2013

5. Two remarks on iterates of Euler’s totient function;Archiv der Mathematik;2011-10-27

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