Hi Everyone!


I'm wondering if anyone knows of a reference for learning global class field theory using the original analytic proofs developed in the 1920s and 1930s. Almost every book I can find either does local class field theory first or uses ideles/cohomology to prove global class field theory. This is not how it was historically done - the ideal-theoretical formulation of class field theory was proven first, using more elementary analytic methods. So I'm wondering if anyone knows of any resources which would teach these proofs.


I'm currently about to take a class which follows global class field theory in this way, and our teacher says he does not know of any textbook for this, so I'm wondering if anyone here would know.



Reference for Learning Global Class Field Theory Using the Original Analytic Proofs?
As far as textbooks your best bet is Janusz's "Algebraic Number Fields."


Also I tried to collect a lot of this stuff in my [senior thesis](http://math.berkeley.edu/~nsnyder/thesismain.pdf). The list of references there should also be very useful. For example, I use Hecke's original approach to abelian L-functions instead of Tate's thesis which I learned from the last section of Neukirch's big book (which is otherwise a very modern book), there's Hilbert's original proof of lifting of the Frobenius from his Zahlbericht (which appears in translation and I highly recommend), and a proof of Kronecker-Weber following the original approach appears both in Mollin's "Algebraic Number Theory" and in Hilbert's Zahlbericht.


As an added bonus for non-German readers I translated (caveat, I didn't know any German at the time and relied heavily on dictionaries) Artin's beautiful paper on L-functions in the appendix which is one of the key original sources here.


