I'm working on rewriting the tutorial. Section 2.5.1 of the tutorial is about Dirichlet characters, and I have some questions:
The introductory sentence discusses "Dirichlet characters", and then the first example uses "DirichletGroup". What is the connection? (I'm thinking that for fixed n and R, the set of Dirichlet characters forms a group, and that's what's being computed here. Is that right? If so, in the notation for elements of the group, what function does an element like [1,zeta6] correspond to?) The introductory sentence also discusses "some ring" R. Is R actually the complex numbers here? Can we add a parenthetical remark like "(Often, R is the complex numbers.)"? The introductory sentence discusses a map with domain (Z/NZ)*. A bit later, a Galois group involving zeta_n is mentioned. Presumably n = N? Overall, this section is a bit challenging for something in a tutorial, especially in such an early section. I'm hoping that if I understand the answers to these questions, I can make it gentle enough to keep, but it might have to be removed, or at least moved back. --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
