论文标题

hecke字符的计算组

Computing groups of Hecke characters

论文作者

Molin, Pascal, Page, Aurel

论文摘要

我们描述了代表和计算Hecke字符组的算法。我们利用ID {è}的观点,并获得此类角色的整个家庭,包括先验。我们还展示了如何隔离数字理论中特别感兴趣的代数字符。这项工作已在Pari/GP中实施,我们用我们的实施来说明我们的工作,以各种明确的示例来说明我们的工作。

We describe algorithms to represent and compute groups of Hecke characters. We make use of an id{è}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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