Complex Multiplication (New Mathematical Monographs, 15) - download pdf or read online

By Reinhard Schertz

this can be a self-contained account of the cutting-edge in classical advanced multiplication that comes with fresh effects on earrings of integers and functions to cryptography utilizing elliptic curves. the writer is exhaustive in his therapy, giving a radical improvement of the speculation of elliptic capabilities, modular features and quadratic quantity fields and supplying a concise precis of the consequences from category box conception. the most effects are observed by way of numerical examples, equipping any reader with the entire instruments and formulation they want. subject matters lined comprise: the development of sophistication fields over quadratic imaginary quantity fields through singular values of the modular invariant j and Weber's tau-function; specific development of jewelry of integers in ray type fields and Galois module constitution; the development of cryptographically proper elliptic curves over finite fields; facts of Berwick's congruences utilizing department values of the Weierstrass p-function; kin among elliptic devices and sophistication numbers.

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Complex Multiplication (New Mathematical Monographs, 15) by Reinhard Schertz

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