Primes of the Form x2+ny2: Fermat Class Field Theory and Complex Multiplication
Author:   David A. Cox
Publisher:   John Wiley and Sons Ltd
Edition:   New edition
ISBN:  

9780471190790


Pages:   368
Publication Date:   08 May 1997
Format:   Paperback
Availability:   Awaiting stock   Availability explained


Our Price $348.48 Quantity:  
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Primes of the Form x2+ny2: Fermat Class Field Theory and Complex Multiplication


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Author:   David A. Cox
Publisher:   John Wiley and Sons Ltd
Imprint:   John Wiley & Sons Inc
Edition:   New edition
Dimensions:   Width: 15.50cm , Height: 1.80cm , Length: 23.60cm
Weight:   0.461kg
ISBN:  

9780471190790


ISBN 10:   0471190799
Pages:   368
Publication Date:   08 May 1997
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Out of Stock Indefinitely
Availability:   Awaiting stock   Availability explained

Table of Contents

FROM FERMAT TO GAUSS.; Fermat, Euler and Quadratic Reciprocity.; Lagrange, Legendre and Quadratic Forms.; Gauss, Composition and Genera.; Cubic and Biquadratic Reciprocity.; CLASS FIELD THEORY.; The Hilbert Class Field and p = x 2 + ny 2 .; The Hilbert Class Field and Genus Theory.; Orders in Imaginary Quadratic Fields.; Class Fields Theory and the Cebotarev Density Theorem.; Ring Class Field and p = x 2 + ny 2 .; COMPLEX MULTIPLICATION.; Elliptic Functions and Complex Multiplication.; Modular Functions and Ring Class Fields.; Modular Functions and Singular j--Invariants.; The Class Equation.; Ellpitic Curves.; References.; Index.

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DAVID A. COX is Professor of Mathematics at Amherst College.

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