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

By: Dorian Goldfeld (Author)

Ksh 26,100.00
Format :

Format(s): DRM PDF

ISBN-13: 9780511542923

Publisher: Cambridge University Press

Imprint: Cambridge University Press

Publication Date: August 22nd, 2009

Country of Publication: GB

Language: English

Physical Edition EAN: 9781107565029

Category: Algebra , Groups & group theory , Number theory , Complex analysis, complex variables

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  • Description

  • Author Bio

L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.

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