Computing groups of Hecke characters
Symbolic Computation
2022-10-07 v1 Number Theory
Abstract
We describe algorithms to represent and compute groups of Hecke characters. We make use of an id{\`e}lic point of view and obtain the whole family of such characters, including transcendental ones. We also show how to isolate the algebraic characters, which are of particular interest in number theory. This work has been implemented in Pari/GP, and we illustrate our work with a variety of explicit examples using our implementation.
Keywords
Cite
@article{arxiv.2210.02716,
title = {Computing groups of Hecke characters},
author = {Pascal Molin and Aurel Page},
journal= {arXiv preprint arXiv:2210.02716},
year = {2022}
}