Dergi makalesi Açık Erişim
Isik, Erman; Kara, Yasemin; Ozman, Ekin
{ "DOI": "10.3906/mat-1911-88", "abstract": "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.", "author": [ { "family": "Isik", "given": " Erman" }, { "family": "Kara", "given": " Yasemin" }, { "family": "Ozman", "given": " Ekin" } ], "container_title": "TURKISH JOURNAL OF MATHEMATICS", "id": "10545", "issue": "4", "issued": { "date-parts": [ [ 2020, 1, 1 ] ] }, "page": "1197-1211", "title": "On ternary Diophantine equations of signature (p, p, 2) over number fields", "type": "article-journal", "volume": "44" }
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Isik, E., Kara, Y. ve Ozman, E. (2020). On ternary Diophantine equations of signature (p, p, 2) over number fields. TURKISH JOURNAL OF MATHEMATICS, 44(4), 1197–1211. doi:10.3906/mat-1911-88