Publication: The cubic congruence x(3)+ax(2)+bx+c equivalent to 0(mod p) and binary quadratic forms F(x, y) = ax(2)+bxy+cy(2)
dc.contributor.buuauthor | Tekcan, Ahmet | |
dc.contributor.department | Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü | |
dc.contributor.researcherid | AAH-8518-2021 | |
dc.contributor.scopusid | 55883777900 | |
dc.date.accessioned | 2024-05-29T07:22:39Z | |
dc.date.available | 2024-05-29T07:22:39Z | |
dc.date.issued | 2007-10 | |
dc.description.abstract | Let F(x,y) ax(2) + bxy + cy(2) be a binary quadratic form of discriminant Delta = b(2) - 4ac for a, b, c is an element of Z, let p be a prime number and let F-p be a finite field. In this paper we formulate the number of integer solutions of cubic congruence x(3) + ax(2) + bx + c equivalent to 0 (mod p) over Fp for two specific binary quadratic forms F-1(k) (x, y) = x(2) + kxy + ky(2) and F-2(k) (x, y) = kx(2) + kxy + k(2) y(2) for integer k such that 1 <= k <= 9. Later we consider representation of primes by F-1(k) and F-2(k). | |
dc.identifier.endpage | 269 | |
dc.identifier.issn | 0381-7032 | |
dc.identifier.scopus | 2-s2.0-37049035341 | |
dc.identifier.startpage | 257 | |
dc.identifier.uri | https://hdl.handle.net/11452/41546 | |
dc.identifier.volume | 85 | |
dc.identifier.wos | 000250733900022 | |
dc.indexed.pubmed | ||
dc.indexed.scopus | Scopus | |
dc.indexed.wos | SCIE | |
dc.language.iso | en | |
dc.publisher | Charles Babbage Research Centre | |
dc.relation.journal | Ars Combinatoria | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | |
dc.rights | info:eu-repo/semantics/closedAccess | |
dc.subject | Binary quadratic form | |
dc.subject | Cubic congruence | |
dc.subject | Representation of primes by binary quadratic forms | |
dc.subject | Cubic residue | |
dc.subject | Mathematics | |
dc.subject.scopus | Real Quadratic Fields; Pell's Equation; Continued Fraction | |
dc.subject.wos | Mathematics | |
dc.title | The cubic congruence x(3)+ax(2)+bx+c equivalent to 0(mod p) and binary quadratic forms F(x, y) = ax(2)+bxy+cy(2) | |
dc.type | Article | |
dspace.entity.type | Publication | |
local.indexed.at | WOS |
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