The Erdős–Kac theorem and its generalizations
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.
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Wentang Kuo, Yu-Ru Liu
(2008).
The Erdős–Kac theorem and its generalizations. UWSpace.
http://hdl.handle.net/10012/19995
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