By Dorian Goldfeld

L-functions linked to automorphic kinds encode all classical quantity theoretic details. they're corresponding to effortless debris in physics. This 2006 e-book presents a completely self-contained creation to the idea of L-functions in a mode available to graduate scholars with a uncomplicated wisdom of classical research, advanced variable thought, and algebra. additionally in the quantity are many new effects now not but present in the literature. The exposition presents whole specific proofs of leads to an easy-to-read structure utilizing many examples and with no the necessity to understand and be mindful many complicated definitions. the most topics of the e-book 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 e-book, a collection of Mathematica capabilities is gifted, designed to permit the reader to discover the speculation from a computational element of view.

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