On the number of elements with maximal order in the multiplicative group modulo n

• Autorzy: Shuguang Li
• Języki publikacji: EN

Kategorie tematyczne

• 11N37: Asymptotic results on arithmetic functions
• 11N36: Applications of sieve methods
• 11B05: Density, gaps, topology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 86
• Numer: 2
• Strony: 113-132

Daty

wydano

1998

otrzymano

1997-01-31

poprawiono

1998-04-15

Twórcy

autor

Shuguang Li

• Department of Mathematics, University of Georgia, Athens, Georgia 30602, U.S.A.

Bibliografia

• [1] R. D. Carmichael, The Theory of Numbers, Wiley, New York, 1914.
• [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.
• [3] P. Erdős, C. Pomerance and E. Schmutz, Carmichael's lambda function, Acta Arith. 58 (1991), 363-385.
• [4] J. Galambos, Advanced Probability Theory, 2nd ed., Dekker, New York, 1995.
• [5] H. Halberstam and H. E. Richert, Sieve Methods, Academic Press, New York, 1974.
• [6] G. H. Hardy and B. M. Wright, An Introduction to the Theory of Numbers, Oxford Univ. Press, London, 1960.
• [7] W. J. LeVeque, Topics in Number Theory, Vol. I, Addison-Wesley, Reading, Mass., 1956.
• [8] S. Li, Artin's conjecture on average for composite moduli, preprint.
• [9] G. Martin, The least prime primitive root and the shifted sieve, Acta Arith. 80 (1997), 277-288.
• [10] K. K. Norton, On the number of restricted prime factors of an integer I, Illinois J. Math. 20 (1976), 681-705.
• [11] C. Pomerance, On the distribution of amicable numbers, J. Reine Angew. Math. 293/294 (1977), 217-222.
• [12] I. J. Schoenberg, On asymptotic distributions of arithmetical functions, Trans. Amer. Math. Soc. 39 (1936), 315-330.