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Primes of the Form x2+ny2

Fermat Class Field Theory and Complex Multiplication

(Autor)

Buch | Hardcover
352 Seiten
1989
John Wiley & Sons Inc (Verlag)
978-0-471-50654-6 (ISBN)
CHF 279,95 inkl. MwSt
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Topics covered in this volume include quadratic reciprocity, quadratic forms, genus theory, cubic and biquadratic reciprocity, class field theory, orders in quadratic fields and elliptic functions. The central themes are covered by the author at both elementary and advanced levels.
Topics covered in this volume include: quadratic reciprocity, quadratic forms, genus theory, cubic and biquadratic reciprocity, class field theory, orders in quadratic fields, elliptic functions, modular functions and complex multiplication. The central question of when a prime p is of the form x2 + ny2 is covered by the author at both elementary and advanced level, thus making the book accessible to a wide range of readers.

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 = x2 + ny2. The Hilbert Class Field and Genus Theory. Orders in Imaginary Quadratic Fields. Class Field Theory and the ebotarev Density Theorem. Ring Class Field and p = x2 + ny2. 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.

Erscheint lt. Verlag 15.11.1989
Zusatzinfo index
Verlagsort New York
Sprache englisch
Maße 44 x 64 mm
Gewicht 680 g
Themenwelt Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
ISBN-10 0-471-50654-0 / 0471506540
ISBN-13 978-0-471-50654-6 / 9780471506546
Zustand Neuware
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