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Jan 28, 2018 at 14:02 comment added Kimball In (1), I guess you mean you can sometimes attach an automorphic representation to a Galois representation. Also, I think motivation can be stated in a fairly elementary way, e.g., Artin $L$-functions tell you about about how primes split ($\approx$ factor) in finite extensions.
Jan 21, 2018 at 7:29 history edited Martin Sleziak CC BY-SA 3.0
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S Jan 21, 2018 at 5:00 history answered user1437 CC BY-SA 3.0
S Jan 21, 2018 at 5:00 history made wiki Post Made Community Wiki by user1437