Dergi makalesi Açık Erişim
Isik, Erman; Kara, Yasemin; Ozman, Ekin
{ "@context": "https://schema.org/", "@id": 10545, "@type": "ScholarlyArticle", "creator": [ { "@type": "Person", "affiliation": "Bogazici Univ, Fac Arts & Sci, Dept Math, Istanbul, Turkey", "name": "Isik, Erman" }, { "@type": "Person", "affiliation": "Bogazici Univ, Fac Arts & Sci, Dept Math, Istanbul, Turkey", "name": "Kara, Yasemin" }, { "@type": "Person", "affiliation": "Bogazici Univ, Fac Arts & Sci, Dept Math, Istanbul, Turkey", "name": "Ozman, Ekin" } ], "datePublished": "2020-01-01", "description": "Let K be a totally real number field with narrow class number one and O-K be its ring of integers. We prove that there is a constant B-K depending only on K such that for any prime exponent p > B-K the Fermat type equation x(p) + y(p) = z(2) with x, y, z. O-K does not have certain type of solutions. Our main tools in the proof are modularity, level lowering, and image of inertia comparisons.", "headline": "On ternary Diophantine equations of signature (p, p, 2) over number fields", "identifier": 10545, "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", "license": "http://www.opendefinition.org/licenses/cc-by", "name": "On ternary Diophantine equations of signature (p, p, 2) over number fields", "url": "https://aperta.ulakbim.gov.tr/record/10545" }
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