Anatomy of Integers

Abstract

We give a survey of the Erdő-Kac theorem and its various generalizations.In particular, we discuss an open conjecture of Erdős and Pomerance about the distribution of the number of distinct prime divisors of the order of a fixed integer in the multiplicative groups (Z/nZ) * .We also formulate a Carlitz module analogue of this conjecture and provide a sketch of its proof.

Locations

• CRM proceedings & lecture notes - View
• UWSpace (University of Waterloo) - View - PDF