An Upper Limit Property of the Euler Function
Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 375-377
Voir la notice de l'article provenant de la source Cambridge University Press
If φ(n) denotes the Euler function, for n = p a prime we have φ(n)/n = (1-1/p), which implies that In this note we consider a refinement of this result. Namely, we prove that 1 where P∗(k) is the largest integer of the form where p1 < p2<...<pr are the first r primes in ascending order.
Hausman, Miriam. An Upper Limit Property of the Euler Function. Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 375-377. doi: 10.4153/CMB-1980-056-1
@article{10_4153_CMB_1980_056_1,
author = {Hausman, Miriam},
title = {An {Upper} {Limit} {Property} of the {Euler} {Function}},
journal = {Canadian mathematical bulletin},
pages = {375--377},
year = {1980},
volume = {23},
number = {3},
doi = {10.4153/CMB-1980-056-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-056-1/}
}
[1] 1. Hardy, G. H., and Wright, E. M., An Introduction to the Theory of Numbers, Oxford University Press, 1968, p. 351. Google Scholar
Cité par Sources :