The Erdős Theorem and the Halberstam Theorem in function fields
| dc.contributor.author | Liu, Yu-Ru | |
| dc.date.accessioned | 2023-10-03T14:57:50Z | |
| dc.date.available | 2023-10-03T14:57:50Z | |
| dc.date.issued | 2004 | |
| dc.description | This is the Accepted Version of the paper published in the journal Acta Arithmetica in 2004. The final Version of Record is available here https://doi.org/10.4064/aa114-4-3 | en |
| dc.description.abstract | Introduction. For n ∈ N, define ω(n) to be the number of distinct prime divisors of n. The Tur´an Theorem [9] concerns the second moment of ω(n) and it implies a result of Hardy and Ramanujan [4] that the normal order of ω(n) is log log n. Further development of probabilistic ideas led Erd˝os and Kac [2] to prove a remarkable refinement of the Hardy Ramanujan Theorem, namely, the existence of a normal distribution for ω(n). | en |
| dc.description.sponsorship | Research partially supported by an NSERC discovery grant. | en |
| dc.identifier.uri | https://doi.org/10.4064/aa114-4-3 | |
| dc.identifier.uri | http://hdl.handle.net/10012/19992 | |
| dc.language.iso | en | en |
| dc.publisher | Institute of Mathematics of the Polish Academy of Sciences | en |
| dc.relation.ispartofseries | Acta Arithmetica;114(4) | |
| dc.rights | Attribution 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.title | The Erdős Theorem and the Halberstam Theorem in function fields | en |
| dc.type | Article | en |
| dcterms.bibliographicCitation | Liu, Y.-R. (2004). The Erdős theorem and the Halberstam theorem in Function Fields. Acta Arithmetica, 114(4), 323–330. https://doi.org/10.4064/aa114-4-3 | 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 |