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The Fourier-analytic Proof of Quadratic Reciprocity
Michael C. Berg
€ 215.73
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Description for The Fourier-analytic Proof of Quadratic Reciprocity
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. Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts. Num Pages: 118 pages, Ill. BIC Classification: PBH; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 244 x 167 x 14. Weight in Grams: 364.
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 to reciprocity laws with a unique opportunity to explore the works of Hecke, Weil, and Kubota.
This work ... Read more
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 to reciprocity laws with a unique opportunity to explore the works of Hecke, Weil, and Kubota.
This work ... Read more
Product Details
Format
Hardback
Publication date
2000
Publisher
John Wiley and Sons Ltd United States
Number of pages
118
Condition
New
Series
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Number of Pages
118
Place of Publication
, United States
ISBN
9780471358305
SKU
V9780471358305
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-50
About Michael C. Berg
MICHAEL C. BERG, PhD, is Professor of Mathematics at Loyola Marymount University, Los Angeles, California.
Reviews for The Fourier-analytic Proof of Quadratic Reciprocity
"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 ... Read more