By Dorian Goldfeld

L-functions linked to automorphic types encode all classical quantity theoretic details. they're corresponding to ordinary debris in physics. This 2006 publication presents a completely self-contained creation to the speculation of L-functions in a method obtainable to graduate scholars with a uncomplicated wisdom of classical research, advanced variable idea, and algebra. additionally in the quantity are many new effects now not but present in the literature. The exposition offers entire distinctive proofs of ends up in an easy-to-read layout utilizing many examples and with no the necessity to comprehend and take into account many advanced definitions. the most topics of the ebook are first labored out for GL(2,R) and GL(3,R), after which for the final case of GL(n,R). In an appendix to the ebook, a suite of Mathematica capabilities is gifted, designed to permit the reader to discover the speculation from a computational element of view.

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Automorphic Forms and L-Functions for the Group GL(n,R) (Cambridge Studies in Advanced Mathematics) by Dorian Goldfeld

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