On the number of elements with maximal order in the multiplicative group modulo n
Shuguang Li
Acta Arithmetica, Tome 84 (1998), p. 113-132 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:207184
@article{bwmeta1.element.bwnjournal-article-aav86i2p113bwm,
     author = {Shuguang Li},
     title = {On the number of elements with maximal order in the multiplicative group modulo n},
     journal = {Acta Arithmetica},
     volume = {84},
     year = {1998},
     pages = {113-132},
     zbl = {0917.11001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav86i2p113bwm}
}
Shuguang Li. On the number of elements with maximal order in the multiplicative group modulo n. Acta Arithmetica, Tome 84 (1998) pp. 113-132. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav86i2p113bwm/

[000] [1] R. D. Carmichael, The Theory of Numbers, Wiley, New York, 1914. | Zbl 45.0283.10

[001] [2] P. D. T. A. Elliott, On the limiting distribution of f(p+1) for non-negative additive functions, Acta Math. 132 (1974), 53-75. | Zbl 0287.10046

[002] [3] P. Erdős, C. Pomerance and E. Schmutz, Carmichael's lambda function, Acta Arith. 58 (1991), 363-385. | Zbl 0734.11047

[003] [4] J. Galambos, Advanced Probability Theory, 2nd ed., Dekker, New York, 1995. | Zbl 0841.60001

[004] [5] H. Halberstam and H. E. Richert, Sieve Methods, Academic Press, New York, 1974. | Zbl 0298.10026

[005] [6] G. H. Hardy and B. M. Wright, An Introduction to the Theory of Numbers, Oxford Univ. Press, London, 1960. | Zbl 0086.25803

[006] [7] W. J. LeVeque, Topics in Number Theory, Vol. I, Addison-Wesley, Reading, Mass., 1956. | Zbl 0070.03804

[007] [8] S. Li, Artin's conjecture on average for composite moduli, preprint. | Zbl 0972.11091

[008] [9] G. Martin, The least prime primitive root and the shifted sieve, Acta Arith. 80 (1997), 277-288. | Zbl 0871.11065

[009] [10] K. K. Norton, On the number of restricted prime factors of an integer I, Illinois J. Math. 20 (1976), 681-705. | Zbl 0329.10035

[010] [11] C. Pomerance, On the distribution of amicable numbers, J. Reine Angew. Math. 293/294 (1977), 217-222. | Zbl 0349.10004

[011] [12] I. J. Schoenberg, On asymptotic distributions of arithmetical functions, Trans. Amer. Math. Soc. 39 (1936), 315-330. | Zbl 0013.39302