On sparsely totient numbers
Glasgow mathematical journal, Tome 33 (1991) no. 3, pp. 350-358

Voir la notice de l'article provenant de la source Cambridge University Press

Following Masser and Shiu [6] we say that a positive integer n is sparsely totient ifHere φ is the familiar Euler totient function. We write F for the set of sparsely totient numbers. In [6] several results are proved about the multiplicative structure of F. If we write P(n) for the largest prime factor of n then it was shown (Theorem 2 of [6]) thatand infinitely often
Harman, Glyn. On sparsely totient numbers. Glasgow mathematical journal, Tome 33 (1991) no. 3, pp. 350-358. doi: 10.1017/S0017089500008417
@article{10_1017_S0017089500008417,
     author = {Harman, Glyn},
     title = {On sparsely totient numbers},
     journal = {Glasgow mathematical journal},
     pages = {350--358},
     year = {1991},
     volume = {33},
     number = {3},
     doi = {10.1017/S0017089500008417},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008417/}
}
TY  - JOUR
AU  - Harman, Glyn
TI  - On sparsely totient numbers
JO  - Glasgow mathematical journal
PY  - 1991
SP  - 350
EP  - 358
VL  - 33
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008417/
DO  - 10.1017/S0017089500008417
ID  - 10_1017_S0017089500008417
ER  - 
%0 Journal Article
%A Harman, Glyn
%T On sparsely totient numbers
%J Glasgow mathematical journal
%D 1991
%P 350-358
%V 33
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008417/
%R 10.1017/S0017089500008417
%F 10_1017_S0017089500008417

[1] 1.Baker, R. C., Diophantine inequalities, London Math. Soc. Monographs N.S.I (Oxford Science Publications, 1986). Google Scholar

[2] 2.Baker, R. C., The greatest prime factor of the integers in an interval, Acta Arith. 47 (1986), 193–231. Google Scholar | DOI

[3] 3.Baker, R. C. and Harman, G., On the distribution of apkmodulo one, Mathematika, to appear. Google Scholar

[4] 4.Davenport, H., Multiplicative number theory, second edition revised by Montgomery, H. L. (Springer, 1980). Google Scholar

[5] 5.Heath-Brown, D. R., Prime numbers in short intervals and a generalized Vaughan identity, Canad. J. Math. 34 (1982), 1365–1377. Google Scholar

[6] 6.Masser, D. W. and Shiu, P., On sparsely totient numbers, Pacific J. Math. 121 (1986), 407–426. Google Scholar

[7] 7.Titchmarsh, E. C., The theory of the Riemann zeta-function, second edition revised by Heath-Brown, D. R. (Oxford, 1986). Google Scholar

Cité par Sources :