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Article: Local distribution of ordered factorizations of integers
Title | Local distribution of ordered factorizations of integers |
---|---|
Authors | |
Issue Date | 2001 |
Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jnt |
Citation | Journal Of Number Theory, 2001, v. 91 n. 2, p. 312-317 How to Cite? |
Abstract | Denote am(n) = ∑ n1, ..., nm ≥ 2 n1 ... nm = n 1 to be the number of ordered factorizations of an integer n into m factors. We are concerned with the local distribution A(x,m) = ∑n ≤ x am (n). A recent work of Hwang studied A(x, m) by using two methods: the analytic method and saddle-point method. Hwang then concluded a simple asymptotic formula for m = o((log x)2/3). We prove here that the analytic method is in fact sufficient to yield this formula, and moreover, give some refinements. © 2001 Elsevier Science. |
Persistent Identifier | http://hdl.handle.net/10722/75246 |
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.780 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lau, YK | en_HK |
dc.date.accessioned | 2010-09-06T07:09:19Z | - |
dc.date.available | 2010-09-06T07:09:19Z | - |
dc.date.issued | 2001 | en_HK |
dc.identifier.citation | Journal Of Number Theory, 2001, v. 91 n. 2, p. 312-317 | en_HK |
dc.identifier.issn | 0022-314X | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/75246 | - |
dc.description.abstract | Denote am(n) = ∑ n1, ..., nm ≥ 2 n1 ... nm = n 1 to be the number of ordered factorizations of an integer n into m factors. We are concerned with the local distribution A(x,m) = ∑n ≤ x am (n). A recent work of Hwang studied A(x, m) by using two methods: the analytic method and saddle-point method. Hwang then concluded a simple asymptotic formula for m = o((log x)2/3). We prove here that the analytic method is in fact sufficient to yield this formula, and moreover, give some refinements. © 2001 Elsevier Science. | en_HK |
dc.language | eng | en_HK |
dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jnt | en_HK |
dc.relation.ispartof | Journal of Number Theory | en_HK |
dc.title | Local distribution of ordered factorizations of integers | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-314X&volume=91&spage=312&epage=317&date=2001&atitle=Local+distribution+of+ordered+factorizations+of+integers | en_HK |
dc.identifier.email | Lau, YK:yklau@maths.hku.hk | en_HK |
dc.identifier.authority | Lau, YK=rp00722 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1006/jnth.2001.2687 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0035704278 | en_HK |
dc.identifier.hkuros | 66891 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0035704278&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 91 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 312 | en_HK |
dc.identifier.epage | 317 | en_HK |
dc.identifier.isi | WOS:000173405200009 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Lau, YK=35724053400 | en_HK |
dc.identifier.issnl | 0022-314X | - |