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- Publisher Website: 10.1093/imrn/rnz003
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Article: Universal sums of m-gonal numbers
| Title | Universal sums of m-gonal numbers |
|---|---|
| Authors | |
| Issue Date | 2020 |
| Publisher | Oxford University Press. The Journal's web site is located at http://imrn.oxfordjournals.org |
| Citation | International Mathematics Research Notices, 2020, v. 2020 n. 20, p. 6999-7036 How to Cite? |
| Abstract | In this paper we study universal quadratic polynomials, which arise as sums of polygonal numbers. Specifically, we determine an asymptotic upper bound (as a function of m) on the size of the set Sm⊂N such that if a sum of m-gonal numbers represents Sm, then it represents N. |
| Persistent Identifier | http://hdl.handle.net/10722/266440 |
| ISSN | 2023 Impact Factor: 0.9 2023 SCImago Journal Rankings: 1.337 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kane, B | - |
| dc.contributor.author | Liu, J | - |
| dc.date.accessioned | 2019-01-18T08:19:41Z | - |
| dc.date.available | 2019-01-18T08:19:41Z | - |
| dc.date.issued | 2020 | - |
| dc.identifier.citation | International Mathematics Research Notices, 2020, v. 2020 n. 20, p. 6999-7036 | - |
| dc.identifier.issn | 1073-7928 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/266440 | - |
| dc.description.abstract | In this paper we study universal quadratic polynomials, which arise as sums of polygonal numbers. Specifically, we determine an asymptotic upper bound (as a function of m) on the size of the set Sm⊂N such that if a sum of m-gonal numbers represents Sm, then it represents N. | - |
| dc.language | eng | - |
| dc.publisher | Oxford University Press. The Journal's web site is located at http://imrn.oxfordjournals.org | - |
| dc.relation.ispartof | International Mathematics Research Notices | - |
| dc.title | Universal sums of m-gonal numbers | - |
| dc.type | Article | - |
| dc.identifier.email | Kane, B: bkane@hku.hk | - |
| dc.identifier.authority | Kane, B=rp01820 | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1093/imrn/rnz003 | - |
| dc.identifier.scopus | eid_2-s2.0-85088970172 | - |
| dc.identifier.hkuros | 296535 | - |
| dc.identifier.volume | 2020 | - |
| dc.identifier.issue | 20 | - |
| dc.identifier.spage | 6999 | - |
| dc.identifier.epage | 7036 | - |
| dc.identifier.isi | WOS:000593049000012 | - |
| dc.publisher.place | United Kingdom | - |
| dc.identifier.issnl | 1073-7928 | - |