Feza Gürsey Fizik ve Matematik UAM Seminerleri
On a class of generalized Fermat equations of signature (2,2n,3)
Andrzej Dabrowski
University of Szczecin, Polonya
We will discuss the generalized Fermat equations $Ax^2 + By^{2n} = 4z^3$, assuming (for simplicity) that the class number of the imaginary quadratic field $\mathbb Q(\sqrt{-AB})$ is one. The methods use techniques coming from Galois representations and modular forms; for small $n$'s one needs Chabauty type methods. Our results, conjectures (and methods) extend those given by Bruin, Chen et al. in the case $x^2 + y^{2n} = z^3$. This is a joint work with K. Chałupka and G. Soydan.
NOT:
Meeting ID: 989 8485 8471 Passcode: 039129. (15:00 Tehran time). This talk is a part of the Number Theory Meeting is jointly organized by FGC and IPM.
