UID:
edocfu_9959327328002883
Umfang:
1 online resource (xx, 115 pages).
ISBN:
9781118032947
,
1118032942
,
9781118031193
,
1118031199
Serie:
Pure and applied mathematics
Anmerkung:
Front Matter -- Hecke's Proof of Quadratic Reciprocity -- Two Equivalent Forms of Quadratic Reciprocity -- The Stone-Von Neumann Theorem -- Weil's ₃Acta₄ 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 -- Pure and Applied Mathematics.
,
Hecke's Proof of Quadratic Reciprocity
,
Hecke [curly or open theta]-functions and Their Functional Equation
,
Gauss ( -Hecke) Sums
,
Relative Quadratic Reciprocity
,
Endnotes to Chapter 1
,
Two Equivalent Forms of Quadratic Reciprocity
,
Stone-Von Neumann Theorem
,
Finite Case: A Paradigm
,
Locally Compact Abelian Case: Some Remarks
,
Form of the Stone-Von Neumann Theorem Used in [section] 4.1
,
Weil's "Acta" Paper
,
Heisenberg Groups
,
A Heisenberg Group and A Group of Unitary Operators
,
Kernel of [pi]
,
Second-Degree Characters
,
Splitting of [pi] on a Distinguished Subgroup of B(G)
,
Vector Spaces Over Local Fields
,
Quaternions Over a Local Field
,
Hilbert Reciprocity
,
Stone-Von Neumann Theorem Revisited
,
Double Cover of the Symplectic Group
,
Endnotes to Chapter 4
,
Kubota and Cohomology
,
Weil Revisited
,
Kubota's Cocycle
,
Splitting of [alpha subscript A] Over SL(2, k)
,
2-Hilbert Reciprocity Once Again
,
Algebraic Agreement Between the Formalisms of Weil and Kubota
,
Gruesome Diagram
,
Even More Gruesome Diagram
,
Hecke's Challenge: General Reciprocity and Fourier Analysis on the March
Weitere Ausg.:
Print version: Berg, Michael C., 1955- Fourier-analytic proof of quadratic reciprocity. New York : Wiley, ©2000 ISBN 0471358304
Sprache:
Englisch
Schlagwort(e):
Electronic books.
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9781118032947