Explicit calculation of the mod 4 Galois representation associated with the Fermat quartic

Y Ishitsuka, T Ito, T Ohshita - International Journal of Number Theory, 2020 - World Scientific
We use explicit methods to study the 4-torsion points on the Jacobian variety of the Fermat
quartic. With the aid of computer algebra systems, we explicitly give a basis of the group of 4 …

[PDF][PDF] Leonardo Colò

TL Rapporteuse - 2022 - leonardocolo.com
This thesis revolves around various aspects of supersingular elliptic curves, their
endomorphism rings and associated isogeny graphs. The rich structure of these graphs …

Catalan loops

L Long, JDH Smith - Mathematical Proceedings of the Cambridge …, 2010 - cambridge.org
Motivated by a problem from number theory about the relationship between Fermat curves
and modular curves, a new class of loops is introduced, the Catalan loops. In the number …

卡拉比—邱流型與齊苟模型式的關聯(I)

楊一帆 - 2007 - ir.lib.nycu.edu.tw
Apéry limits and special values of L-functions Page 1 ARTICLE IN PRESS YJMAA:13140
Please cite this article in press as: Y. Yang, Apéry limits and special values of L-functions, J …

[PDF][PDF] Arithmetic of quaternion orders and its applications

F Tu - 2012 - waseda.repo.nii.ac.jp
It goes without saying that some of the most important roles in the developments of number
theory during the last century were played by modular forms and modular curves, which are …

[引用][C] Arithmetic of Quaternion Orders and Its Applications

TU Fang-Ting - 2012