Description
Book SynopsisThis 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.
Trade 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)
Table of ContentsHecke's Proof of Quadratic Reciprocity.
Two Equivalent Forms of Quadratic Reciprocity.
The Stone-Von Neumann Theorem.
Weil's "Acta" Paper.
Kubota and Cohomology.
The Algebraic Agreement Between the Formalisms of Weil and Kubota.
Hecke's Challenge: General Reciprocity and Fourier Analysis on the March.
Bibliography.
Index.
