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Computing groups of Hecke characters

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arxiv 2210.02716 v1 pith:JENZVOHW submitted 2022-10-06 cs.SC math.NT

Pascal Molin , Aurel Page This is my paper · ORCID
classification cs.SCmath.NT
keywords charactersgroupsheckeworkalgebraicalgorithmsbeencompute
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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.

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