On Class Numbers of Real Quadratic Fields with Certain Fundamental Discriminants

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dc.authorwosidPekin, Ayten/AAE-5943-2020
dc.contributor.authorPekin, Ayten
dc.contributor.authorCarus, Aydin
dc.date.accessioned2024-06-12T10:56:36Z
dc.date.available2024-06-12T10:56:36Z
dc.date.issued2015
dc.departmentTrakya Üniversitesien_US
dc.description.abstractLet N denote the sets of positive integers and D is an element of N be square free, and let chi(D), h = h (D) denote the non-trivial Dirichlet character, the class number of the real quadratic field K = Q (root D), respectively. Ono proved the theorem in [2] by applying Sturm's Theorem on the congruence of modular form to Cohen's half integral weight modular forms. Later, Dongho Byeon proved a theorem and corollary in [1] by refining Ono's methods. In this paper, we will give a theorem for certain real quadratic fields by considering above mentioned studies. To do this, we shall obtain an upper bound different from current bounds for L(1, chi(D)) and use Dirichlet's class number formula.en_US
dc.identifier.endpage529en_US
dc.identifier.issn1307-5543
dc.identifier.issue4en_US
dc.identifier.startpage526en_US
dc.identifier.urihttps://hdl.handle.net/20.500.14551/19859
dc.identifier.volume8en_US
dc.identifier.wosWOS:000369940600010en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherEuropean Journal Pure & Applied Mathematicsen_US
dc.relation.ispartofEuropean Journal Of Pure And Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectClass Numberen_US
dc.subjectReal Quadratic Number Fielden_US
dc.titleOn Class Numbers of Real Quadratic Fields with Certain Fundamental Discriminantsen_US
dc.typeArticleen_US

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