The Number of Irreducible Polynomials Over Finite Fields With Vanishing Trace and Reciprocal Trace
| dc.contributor.author | Cakiroglu, Yagmur | |
| dc.contributor.author | Yayla, Oguz | |
| dc.contributor.author | Yilmaz, Emrah Sercan | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T15:24:27Z | |
| dc.date.available | 2024-07-05T15:24:27Z | |
| dc.date.issued | 2022 | |
| dc.description | YAYLA, Oguz/0000-0001-8945-2780 | en_US |
| dc.description.abstract | We present the formula for the number of monic irreducible polynomials of degree n over the finite field F-q where the coefficients of x(n)(-1) and x vanish for n >= 3. In particular, we give a relation between rational points of algebraic curves over finite fields and the number of elements a is an element of F-qn for which Trace(a) = 0 and Trace(a(-1)) = 0. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK) [116R026]; Middle East Technical University [10795]; TUBITAK [117F274] | en_US |
| dc.description.sponsorship | We would like to express our gratitude to the reviewers for their valuable comments, which improved the paper. Yamur Cakrolu was supported by the Scientific and Technological Research Council of Turkey (TUBITAK) under the project number 116R026. Ouz Yayla was supported by Middle East Technical University with the project number 10795. Emrah Sercan Ylmaz was supported by TUBITAK under the project number 117F274. | en_US |
| dc.identifier.doi | 10.1007/s10623-022-01088-2 | |
| dc.identifier.issn | 0925-1022 | |
| dc.identifier.issn | 1573-7586 | |
| dc.identifier.scopus | 2-s2.0-85135858517 | |
| dc.identifier.uri | https://doi.org/10.1007/s10623-022-01088-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/2435 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Irreducible polynomials | en_US |
| dc.subject | Finite fields | en_US |
| dc.subject | Trace function | en_US |
| dc.subject | Algebraic curves | en_US |
| dc.title | The Number of Irreducible Polynomials Over Finite Fields With Vanishing Trace and Reciprocal Trace | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | YAYLA, Oguz/0000-0001-8945-2780 | |
| gdc.author.institutional | Yılmaz, Emrah Sercan | |
| gdc.author.scopusid | 57217205160 | |
| gdc.author.scopusid | 55317276200 | |
| gdc.author.scopusid | 56670829800 | |
| gdc.author.wosid | YAYLA, Oguz/AAZ-7675-2020 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Cakiroglu, Yagmur] Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkey; [Yayla, Oguz] Middle East Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkey; [Yilmaz, Emrah Sercan] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey | en_US |
| gdc.description.endpage | 2417 | en_US |
| gdc.description.issue | 10 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 2407 | en_US |
| gdc.description.volume | 90 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:000837956100004 | |
| gdc.scopus.citedcount | 1 | |
| gdc.wos.citedcount | 1 | |
| relation.isAuthorOfPublication | a66cc52f-edc5-4184-a539-94703c3daff9 | |
| relation.isAuthorOfPublication.latestForDiscovery | a66cc52f-edc5-4184-a539-94703c3daff9 | |
| relation.isOrgUnitOfPublication | 31ddeb89-24da-4427-917a-250e710b969c | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 31ddeb89-24da-4427-917a-250e710b969c |