The Erdős–Kac theorem and its generalizations
Loading...
Date
2008
Authors
Kuo, Wentang
Liu, Yu-Ru
Journal Title
Journal ISSN
Volume Title
Publisher
American Mathematical Society
Abstract
Abstract. We give a survey of the Erd}o-Kac theorem and its various generalizations. In particular, we discuss an open conjecture of Erd}os and Pomerance about the distribution of the number of distinct prime divisors of the order of a xed integer in the multiplicative groups (Z=nZ) . We also formulate a Carlitz module analogue of this conjecture and provide a sketch of its proof.