The Fourier-analytic Proof of Quadratic Reciprocity
By (author) Michael C. Berg
Normal Price: $276.95
Your Price: $249.26 AUD, inc. GST
Shipping: $7.95 per order
You Save: $27.69! (10% off normal price)
Plus...earn $12.46 in Boomerang Bucks
Availability: Available to Backorder, No Due Date for Supply
Fourier-analytic Proof of Quadratic Reciprocity by Michael C. Berg
Book DescriptionA 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 to reciprocity laws with a unique opportunity to explore the works of Hecke, Weil, and Kubota. This work brings together for the first time in a single volume the three existing formulations of the Fourier-analytic proof of quadratic reciprocity. It shows how Weil's groundbreaking representation-theoretic treatment is in fact equivalent to Hecke's classical approach, then goes a step further, presenting Kubota's algebraic reformulation of the Hecke-Weil proof. Extensive commutative diagrams for comparing the Weil and Kubota architectures are also featured. The author clearly demonstrates the value of the analytic approach, incorporating some of the most powerful tools of modern number theory, including adeles, metaplectric groups, and representations. Finally, he points out that the critical common factor among the three proofs is Poisson summation, whose generalization may ultimately provide the resolution for Hecke's open problem.
Buy Fourier-analytic Proof of Quadratic Reciprocity book by Michael C. Berg from Australia's Online Bookstore, Boomerang Books.
Book DetailsISBN: 9780471358305
(244mm x 167mm x 14mm)
Imprint: John Wiley & Sons Inc
Publisher: John Wiley and Sons Ltd
Publish Date: 29-Feb-2000
Country of Publication: United States
» Have you read this book? We'd like to know what you think about it - write a review about Fourier-analytic Proof of Quadratic Reciprocity book by Michael C. Berg and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a member - it's free to sign up!)
Author Biography - Michael C. Berg
MICHAEL C. BERG, PhD, is Professor of Mathematics at Loyola Marymount University, Los Angeles, California.
Bestselling Books: Our Current Bestsellers | Australia's Hottest 1000 Books | Bestselling Fiction | Bestselling Crime Mysteries and Thrillers | Bestselling Non Fiction Books | Bestselling Sport Books | Bestselling Gardening and Handicrafts Books | Bestselling Biographies | Bestselling Food and Drink | Bestselling History | Bestselling Travel Books | Bestselling School Textbooks & Study Guides | Bestselling Children's General Non-Fiction | Bestselling Young Adult Fiction | Bestselling Children's Fiction | Bestselling Picture Books | Top 100 US Bestsellers
Phone: 1300 36 33 32 (9am-5pm Mon-Fri AEST) - International: +61 2 9960 7998 - Online Form
Address: Boomerang Books, 878 Military Road, Mosman Junction, NSW, 2088
© 2003-2017. All Rights Reserved. Eclipse Commerce Pty Ltd - ACN: 122 110 687 - ABN: 49 122 110 687
For every $20 you spend on books, you will receive $1 in Boomerang Bucks loyalty dollars. You can use your Boomerang Bucks as a credit towards a future purchase from Boomerang Books. Note that you must be a Member (free to sign up) and that conditions do apply.