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Article: Regular ternary polygonal forms
| Title | Regular ternary polygonal forms |
|---|---|
| Authors | |
| Issue Date | 2020 |
| Publisher | Springer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=1382-4090 |
| Citation | The Ramanujan Journal (Forthcoming) How to Cite? |
| Abstract | Inspired by Dickson's classification of regular ternary quadratic forms, we prove that there are no primitive regular m-gonal forms when m is sufficiently large. In order to do so, we construct sequences of primes that are inert in a certain quadratic field and show that they satisfy a certain inequality bounding the next prime by the product of the previous primes, a question of independent interest. |
| Persistent Identifier | http://hdl.handle.net/10722/282229 |
| ISSN | 2022 Impact Factor: 0.7 2020 SCImago Journal Rankings: 0.602 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | HE, Z | - |
| dc.contributor.author | Kane, B | - |
| dc.date.accessioned | 2020-05-05T14:32:28Z | - |
| dc.date.available | 2020-05-05T14:32:28Z | - |
| dc.date.issued | 2020 | - |
| dc.identifier.citation | The Ramanujan Journal (Forthcoming) | - |
| dc.identifier.issn | 1382-4090 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/282229 | - |
| dc.description.abstract | Inspired by Dickson's classification of regular ternary quadratic forms, we prove that there are no primitive regular m-gonal forms when m is sufficiently large. In order to do so, we construct sequences of primes that are inert in a certain quadratic field and show that they satisfy a certain inequality bounding the next prime by the product of the previous primes, a question of independent interest. | - |
| dc.language | eng | - |
| dc.publisher | Springer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=1382-4090 | - |
| dc.relation.ispartof | The Ramanujan Journal | - |
| dc.rights | This is a post-peer-review, pre-copyedit version of an article published in [insert journal title]. The final authenticated version is available online at: http://dx.doi.org/[insert DOI] | - |
| dc.title | Regular ternary polygonal forms | - |
| dc.type | Article | - |
| dc.identifier.email | Kane, B: bkane@hku.hk | - |
| dc.identifier.authority | Kane, B=rp01820 | - |
| dc.identifier.hkuros | 309833 | - |
| dc.publisher.place | Netherlands | - |
| dc.identifier.issnl | 1382-4090 | - |