Begum Gulsah Cakti

collaborators

2 papers

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…

math.NT2025

Solving Fermat-type equations over quadratic fields

Begum Gulsah Cakti

This paper applies the modular approach to obtain effectively computable bounds for Fermat-type equations over number fields, while also discussing the differences and obstructions…

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

Solving Fermat-type equations over quadratic fields

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