Publication:
A note on the diophantine equation x2=4pn-4pm + l2

dc.contributor.authorAbu Muriefah, Fadwa S.
dc.contributor.authorLe, Maohua
dc.contributor.buuauthorSoydan, Gokhan
dc.contributor.buuauthorSOYDAN, GÖKHAN
dc.contributor.departmentBursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.
dc.date.accessioned2024-07-01T06:50:55Z
dc.date.available2024-07-01T06:50:55Z
dc.date.issued2021-11-11
dc.description.abstractLet l be a fixed odd positive integer. In this paper, using some classical results on the generalized Ramanujan-Nagell equation, we completely derive all solutions (p, x, m, n) of the equation x(2) = 4p(n)-4p(m)+l(2) with l(2) < 4p(m) for any l > 1, where p is a prime, x, m, n are positive integers satisfying gcd(x, l) = 1 and m < n. Meanwhile we give a method to solve the equation with l(2) > 4p(m). As an example of using this method, we find all solutions (p, x, m, n) of the equation for l is an element of {5, 7}.
dc.identifier.doi10.1007/s13226-021-00197-3
dc.identifier.endpage922
dc.identifier.issn0019-5588
dc.identifier.issue4
dc.identifier.startpage915
dc.identifier.urihttps://doi.org/10.1007/s13226-021-00197-3
dc.identifier.urihttps://hdl.handle.net/11452/42622
dc.identifier.volume53
dc.identifier.wos000717393700001
dc.indexed.wosWOS.SCI
dc.language.isoen
dc.publisherIndian Nat Sci Acad
dc.relation.journalIndian Journal Of Pure & Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectPolynomial-exponential diophantine equation
dc.subjectGeneralized ramanujan-nagell equation
dc.subjectBaker's method
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics
dc.subjectMathematics
dc.titleA note on the diophantine equation x2=4pn-4pm + l2
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublication356f7af9-3f0f-4c82-8733-d98627634647
relation.isAuthorOfPublication.latestForDiscovery356f7af9-3f0f-4c82-8733-d98627634647

Files

Collections