Yasemin Kara

activity

20192026

collaborators

4 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

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

Yasemin Kara, Stef Nomden, Ekin Özman

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.NT2020

Construction of Poincaré-type series by generating kernels

Yasemin Kara, Moni Kumari, Jolanta Marzec +3

Let $Γ \subset PSL_{2} (R)$ be a Fuchsian group of the first kind having a fundamental domain with a finite hyperbolic area, and let $Γ$ be its cover in $\…

math.NT2019

Asymptotic Generalized Fermat's Last Theorem over Number Fields

Yasemin Kara, Ekin Ozman

Recent work of Freitas and Siksek showed that an asymptotic version of Fermat's Last Theorem holds for many totally real fields. Later this result was extended by Deconinck to gene…

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

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

Construction of Poincaré-type series by generating kernels

Asymptotic Generalized Fermat's Last Theorem 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