1 Ocak 2020 Dergi makalesi Açık Erişim

Isik, Erman; Kara, Yasemin; Ozman, Ekin

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    <subfield code="a">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 &amp;gt; 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.</subfield>
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    <subfield code="a">On ternary Diophantine equations of signature (p, p, 2) over number fields</subfield>
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