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Pete L. Clark
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Why the roots of unity are the analogs of constants ?

Hello,

Joel Dogde, in a comment on his question "Roots of unity in different completions of a number field", says the following, about the analogy between number fields and function fields :

Number of roots of unity in number fields is something like the size of the constant field for function fields.

Could anyone explain that ?

Thanks.

user2330
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