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Automorphic Forms and L-Functions for the Group GL(n,R) by Dorian Goldfeld

By Dorian Goldfeld

L-functions linked to automorphic varieties encode all classical quantity theoretic info. they're reminiscent of undemanding debris in physics. This 2006 booklet offers a wholly self-contained advent to the idea of L-functions in a method obtainable to graduate scholars with a uncomplicated wisdom of classical research, complicated variable thought, and algebra. additionally in the quantity are many new effects no longer but present in the literature. The exposition presents entire specific proofs of ends up in an easy-to-read layout utilizing many examples and with out the necessity to understand and keep in mind many advanced definitions. the most topics of the publication are first labored out for GL(2,R) and GL(3,R), after which for the overall case of GL(n,R). In an appendix to the booklet, a collection of Mathematica features is gifted, designed to permit the reader to discover the speculation from a computational aspect of view.

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