Talk:Artin reciprocity
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| Mathematics grading: | Stub Class | Importance unassessed. | Field: Algebra | ||
are you guys serious or is all this made up?
[edit] Connection to more basic material?
The ignorance of the above comment aside, it would be nice to see how this connects to the more familiar types of reciprocity laws. As I am not a number theorist, I have no idea how involved such an explanation would be. At any rate, this article needs more, so I'll probably tag it when I figure out which tag is the right one to stick on here. VectorPosse 11:02, 3 March 2007 (UTC)
- Okay, so I added an expert tag. It's not that I don't believe the material presented is correct; I just think an expert is required to add good material. VectorPosse 11:18, 3 March 2007 (UTC)
- Yes, this is not the way to present Artin reciprocity! This "one version of the theorem" may be very useful in Langlands program, but it is neither a standard form of Artin's reciprocity law, nor is it useful for comprehension. I am a bit rusty on my global class field theory, but if no one fixes it, I will (eventually). Arcfrk 11:11, 10 March 2007 (UTC)
- To answer VectorPosse's question above, the standard way of showing power reciprocity laws from the Artin reciprocity law requires introducing Hilbert symbols and computing them (this is done in section VIII.3 of Milne's Class Field Theory notes referenced in the article). As for the presentation of the Artin reciprocity law in this article, though not necessarily useful comprehension, this is probably the "cleanest" way to state it, and is definitely an extremely relevant and widely used interpretation of the theorem. I do definitely think a more classical statement should be given as well. RobHar 08:28, 24 March 2007 (UTC)
