Is there a polynomial D(2X + 1)-quadruple?
In this paper, we show that there does not exist a polynomial D(2X+ 1)-quadruple {a, b, c, d}, such that 0 < a < b < c < d and deg d = deg b.
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| Format: | Article |
| Language: | English |
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Sciendo
2025-06-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Online Access: | https://doi.org/10.2478/auom-2025-0019 |
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| _version_ | 1850124490424451072 |
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| author | Franušić Zrinka Jurasić Ana |
| author_facet | Franušić Zrinka Jurasić Ana |
| author_sort | Franušić Zrinka |
| collection | DOAJ |
| description | In this paper, we show that there does not exist a polynomial D(2X+ 1)-quadruple {a, b, c, d}, such that 0 < a < b < c < d and deg d = deg b. |
| format | Article |
| id | doaj-art-8e2e3b70ff804e08ae653b4e5937cab9 |
| institution | OA Journals |
| issn | 1844-0835 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj-art-8e2e3b70ff804e08ae653b4e5937cab92025-08-20T02:34:17ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352025-06-01332678810.2478/auom-2025-0019Is there a polynomial D(2X + 1)-quadruple?Franušić Zrinka0Jurasić Ana11Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička cesta 30, 10000Zagreb, Croatia.2Faculty of Mathematics, University of Rijeka, Radmile Matejčić 2, 51000Rijeka, Croatia.In this paper, we show that there does not exist a polynomial D(2X+ 1)-quadruple {a, b, c, d}, such that 0 < a < b < c < d and deg d = deg b.https://doi.org/10.2478/auom-2025-0019d(n)-quadruplesdifference of two squaresring of polynomialsprimary 11c08, 11d99, 11e99secondary 11d09 |
| spellingShingle | Franušić Zrinka Jurasić Ana Is there a polynomial D(2X + 1)-quadruple? Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica d(n)-quadruples difference of two squares ring of polynomials primary 11c08, 11d99, 11e99 secondary 11d09 |
| title | Is there a polynomial D(2X + 1)-quadruple? |
| title_full | Is there a polynomial D(2X + 1)-quadruple? |
| title_fullStr | Is there a polynomial D(2X + 1)-quadruple? |
| title_full_unstemmed | Is there a polynomial D(2X + 1)-quadruple? |
| title_short | Is there a polynomial D(2X + 1)-quadruple? |
| title_sort | is there a polynomial d 2x 1 quadruple |
| topic | d(n)-quadruples difference of two squares ring of polynomials primary 11c08, 11d99, 11e99 secondary 11d09 |
| url | https://doi.org/10.2478/auom-2025-0019 |
| work_keys_str_mv | AT franusiczrinka isthereapolynomiald2x1quadruple AT jurasicana isthereapolynomiald2x1quadruple |