[PDF.69cw] Primes of the Form x2 + ny2: Fermat, Class Field Theory, and Complex Multiplication

Primes of the Form x2 + ny2: Fermat, Class Field Theory, and Complex Multiplication

[PDF.hz61] Primes of the Form x2 + ny2: Fermat, Class Field Theory, and Complex Multiplication

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 | #2804653 in Books |  1997-05-08 | Ingredients: Example Ingredients | Original language:English | PDF # 1 |  9.31 x.72 x6.12l,1.14 | File type: PDF | 368 pages

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||6 of 9 people found the following review helpful.| Definitive text|By Suhaimi Ramly|This is the definitive text on the theory of primes in the form x^2 + ny^2. Problems with simple formulation like this (which primes can be written in that form, and for what n?) make the class field theory interesting and worth understanding. Those with interest in prime numbers would greatly appreciate the topics presented. Recommended for tho|From the Publisher|Provides a general solution to the question of which primes p can be expressed in the form x2 + ny2. Covered first are the special cases considered by Fermat, which involve only quadratic reciprocity and the genus theory of quadratic forms. Fu

Modern number theory began with the work of Euler and Gauss to understand and extend the many unsolved questions left behind by Fermat. In the course of their investigations, they uncovered new phenomena in need of explanation, which over time led to the discovery of field theory and its intimate connection with complex multiplication.

While most texts concentrate on only the elementary or advanced aspects of this story, Primes of the Form x2 + ny2 begins wi...

You easily download any file type for your gadget.Primes of the Form x2 + ny2: Fermat, Class Field Theory, and Complex Multiplication   |  David A. Cox. I was recommended this book by a dear friend of mine.

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