ArticleOriginal scientific text

Title

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

Authors 1

Affiliations

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

Bibliography

  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.
Pages:
113-132
Main language of publication
English
Received
1997-01-31
Accepted
1998-04-15
Published
1998
Exact and natural sciences