The Erdős–Kac theorem and its generalizations
| dc.contributor.author | Kuo, Wentang | |
| dc.contributor.author | Liu, Yu-Ru | |
| dc.date.accessioned | 2023-10-03T15:07:38Z | |
| dc.date.available | 2023-10-03T15:07:38Z | |
| dc.date.issued | 2008 | |
| dc.description.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. | en |
| dc.identifier.uri | https://doi.org/10.1090/crmp/046 | |
| dc.identifier.uri | http://hdl.handle.net/10012/19995 | |
| dc.language.iso | en | en |
| dc.publisher | American Mathematical Society | en |
| dc.relation.ispartofseries | CRM Proceedings and Lecture Notes;46 | |
| dc.title | The Erdős–Kac theorem and its generalizations | en |
| dc.type | Book Chapter | en |
| dcterms.bibliographicCitation | Kuo, W. & Liu, Y.-R. (2008). The Erdős–Kac theorem and its generalizations. In J.-M. De Koninck, A. Granville & F. Luca (Eds.), Anatomy of Integers (pp. 209-216). CRM Proceedings and Lecture Notes. | en |
| uws.contributor.affiliation1 | Faculty of Mathematics | en |
| uws.contributor.affiliation2 | Pure Mathematics | en |
| uws.peerReviewStatus | Reviewed | en |
| uws.scholarLevel | Faculty | en |
| uws.typeOfResource | Text | en |