Ekin Ozman

collaborators

2 papers

math.NT2026

Non-trivial Solutions of $A a^{p} + B b^{p} = C c^{3}$ over Number Fields

Yasemin Kara, Stef Nomden, Ekin Ãzman

In this paper, we investigate solutions to the Diophantine equation $A a^{p} + B b^{p} = C c^{3}$ over number fields using the modular method. Assuming certain standard modularity conj…

math.NT2026

Solving equations of signature $(p, p, 2)$ with coefficients over number fields

Begum Gulsah Cakti, Erman Isik, Yasemin Kara +1

Using the modular method, we study solutions to the Diophantine equation $A a^{p} + B b^{p} = C c^{2}$ over number fields. We first prove an asymptotic result for general number fields satisf…

Non-trivial Solutions of Aap+Bbp=Cc3 over Number Fields

Solving equations of signature (p,p,2) with coefficients over number fields

Non-trivial Solutions of $A a^{p} + B b^{p} = C c^{3}$ over Number Fields

Solving equations of signature $(p, p, 2)$ with coefficients over number fields