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Article: Almost universal ternary sums of polygonal numbers
| Title | Almost universal ternary sums of polygonal numbers |
|---|---|
| Authors | |
| Keywords | Sums of polygonal numbers Ternary quadratic polynomials Almost universal forms Theta series Lattice theory and quadratic spaces Modular forms Spinor genus theory |
| Issue Date | 2018 |
| Publisher | Springer. The Journal's web site is located at https://www.springer.com/journal/40993 |
| Citation | Research in Number Theory, 2018, v. 4 n. 1, article no. 4 How to Cite? |
| Abstract | For a natural number m, generalized m-gonal numbers are those numbers of the form pm(x)=((m−2)x2−(m−4)x)/2 with x∈Z. In this paper we establish conditions on m for which the ternary sum pm(x)+pm(y)+pm(z) is almost universal. |
| Persistent Identifier | http://hdl.handle.net/10722/251434 |
| ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.595 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Haensch, A | - |
| dc.contributor.author | Kane, B | - |
| dc.date.accessioned | 2018-03-01T03:39:14Z | - |
| dc.date.available | 2018-03-01T03:39:14Z | - |
| dc.date.issued | 2018 | - |
| dc.identifier.citation | Research in Number Theory, 2018, v. 4 n. 1, article no. 4 | - |
| dc.identifier.issn | 2363-9555 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/251434 | - |
| dc.description.abstract | For a natural number m, generalized m-gonal numbers are those numbers of the form pm(x)=((m−2)x2−(m−4)x)/2 with x∈Z. In this paper we establish conditions on m for which the ternary sum pm(x)+pm(y)+pm(z) is almost universal. | - |
| dc.language | eng | - |
| dc.publisher | Springer. The Journal's web site is located at https://www.springer.com/journal/40993 | - |
| dc.relation.ispartof | Research in Number Theory | - |
| dc.rights | This is a post-peer-review, pre-copyedit version of an article published in Research in Number Theory. The final authenticated version is available online at: https://doi.org/10.1007/s40993-018-0098-x | - |
| dc.subject | Sums of polygonal numbers | - |
| dc.subject | Ternary quadratic polynomials | - |
| dc.subject | Almost universal forms | - |
| dc.subject | Theta series | - |
| dc.subject | Lattice theory and quadratic spaces | - |
| dc.subject | Modular forms | - |
| dc.subject | Spinor genus theory | - |
| dc.title | Almost universal ternary sums of polygonal numbers | - |
| dc.type | Article | - |
| dc.identifier.email | Kane, B: bkane@hku.hk | - |
| dc.identifier.authority | Kane, B=rp01820 | - |
| dc.description.nature | postprint | - |
| dc.identifier.doi | 10.1007/s40993-018-0098-x | - |
| dc.identifier.scopus | eid_2-s2.0-85041637091 | - |
| dc.identifier.hkuros | 284293 | - |
| dc.identifier.volume | 4 | - |
| dc.identifier.issue | 1 | - |
| dc.identifier.spage | article no. 4 | - |
| dc.identifier.epage | article no. 4 | - |
| dc.identifier.isi | WOS:000428731300004 | - |
| dc.publisher.place | Germany | - |
| dc.identifier.issnl | 2363-9555 | - |