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Article: Squares of primes and powers of 2, II
Title | Squares of primes and powers of 2, II |
---|---|
Authors | |
Keywords | Mathematics |
Issue Date | 2002 |
Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jnt |
Citation | Journal of Number Theory, 2002, v. 92 n. 1, p. 99-116 How to Cite? |
Abstract | We prove that the density of integers ≡2 (mod 24), which can be represented as the sum of two squares of primes and k powers of 4, tends to 1 as k→∞ in the sequence k≡0 (mod 3). Consequently, there exists a positive integer k0 such that every large integer ≡4 (mod 24) is the sum of four squares of primes and k0 powers of 4 |
Persistent Identifier | http://hdl.handle.net/10722/48604 |
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.780 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Liu, J | en_HK |
dc.contributor.author | Liu, MC | en_HK |
dc.contributor.author | Zhan, T | en_HK |
dc.date.accessioned | 2008-05-22T04:18:41Z | - |
dc.date.available | 2008-05-22T04:18:41Z | - |
dc.date.issued | 2002 | en_HK |
dc.identifier.citation | Journal of Number Theory, 2002, v. 92 n. 1, p. 99-116 | en_HK |
dc.identifier.issn | 0022-314X | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/48604 | - |
dc.description.abstract | We prove that the density of integers ≡2 (mod 24), which can be represented as the sum of two squares of primes and k powers of 4, tends to 1 as k→∞ in the sequence k≡0 (mod 3). Consequently, there exists a positive integer k0 such that every large integer ≡4 (mod 24) is the sum of four squares of primes and k0 powers of 4 | en_HK |
dc.format.extent | 218830 bytes | - |
dc.format.extent | 443 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | text/plain | - |
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.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | Mathematics | en_HK |
dc.title | Squares of primes and powers of 2, II | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-314X&volume=92&issue=1&spage=99&epage=116&date=2002&atitle=Squares+of+primes+and+powers+of+2,+II | en_HK |
dc.identifier.email | Liu, MC: matmcliu@yahoo.com | en_HK |
dc.description.nature | postprint | en_HK |
dc.identifier.doi | 10.1006/jnth.2001.2689 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0036169429 | - |
dc.identifier.hkuros | 66645 | - |
dc.identifier.isi | WOS:000173763900005 | - |
dc.identifier.issnl | 0022-314X | - |