The Fourier-Analytic Proof of Quadratic Reciprocity, 1st Edition, 9780471358305
Hardcover
This unique book explains in a straightforward fashion how quadratic reciprocity relates to some of the most powerful tools of modern number theory such as adeles, metaplectic groups, and representation, demonstrating how this abstract language actually makes sense.

The Fourier-Analytic Proof of Quadratic Reciprocity, 1st Edition

$485.91

  • Hardcover

    144 pages

  • Release Date

    17 February 2000

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Summary

A unique synthesis of the three existing Fourier-analytic treatments of quadratic reciprocity. The relative quadratic case was first settled by Hecke in 1923, then recast by Weil in 1964 into the language of unitary group representations. The analytic proof of the general n-th order case is still an open problem today, going back to the end of Hecke’s famous treatise of 1923. The Fourier-Analytic Proof of Quadratic Reciprocity provides number theorists interested in analytic methods applied …

Book Details

ISBN-13:9780471358305
ISBN-10:0471358304
Author:Michael C. Berg
Publisher:John Wiley & Sons Inc
Imprint:Wiley-Interscience
Format:Hardcover
Number of Pages:144
Edition:1st
Release Date:17 February 2000
Weight:397g
Dimensions:242mm x 162mm x 16mm
Series:Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
What They're Saying

Critics Review

“Provides number theorists interested in analytic methods applied to reciprocity laws with an opportunity to explore the work of Hecke, Weil, and Kubota and their Fourier-analytic treatments…” (SciTech Book News, Vol. 24, No. 4, December 2000) “The content of the book is very important to number theory and is well-prepared…this book will be found to be very interesting and useful by number theorists in various areas.” (Mathematical Reviews, 2002a)

About The Author

Michael C. Berg

MICHAEL C. BERG, PhD, is Professor of Mathematics at Loyola Marymount University, Los Angeles, California.

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