Personal tools
You are here: Home Publications Computing Congruences of Modular Forms and Galois Representations Modulo Prime Powers.

Computing Congruences of Modular Forms and Galois Representations Modulo Prime Powers.

Xavier Taixés i Ventosa, Gabor Wiese

Number 44
Author Gabor Wiese
Year 2009

This article starts a computational study of congruences of modular forms and modular Galois representations modulo prime powers. With two integral polynomials we associate an integer which we call the congruence number. It has the virtue that it can be very quickly computed and that – in many cases – it is the product of all prime powers modulo which the polynomials have roots in common. These techniques are applied to the study of congruences of modular forms and modular Galois representations modulo prime powers. Finally, some computational results with implications on the (non-)liftability of modular forms modulo prime powers and possible generalisations of level raising will be presented.

More information about this publication…

Document Actions
May 2019 »
May
MoTuWeThFrSaSu
12345
6789101112
13141516171819
20212223242526
2728293031