upcarta
  • Sign In
  • Sign Up
  • Explore
  • Search

Primes of the Form X2 + Ny2: Fermat, Class Field Theory, and Complex Multiplication

  • Book
  • Sep, 1989
  • #Math
David A. Cox
@DavidACox
(Author)
www.goodreads.com
Paperback
5.0/5 5 ratings
Paperback
See on Goodreads
4.70/5 11 ratings
1 Recommender
1 Mention
1 Collection
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 qua... Show More

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. Further, the book shows how the results of Euler and Gauss can be fully understood only in the context of class field theory. Finally, in order to bring class field theory down to earth, the book explores some of the mignificent formulas of complex multiplication.

(From Goodreads)

Show Less

Number of Pages: 368

ISBN: 0471190799

ISBN-13: 9780471190790

Recommend
Post
Save
Complete
Collect
Mentions
See All
Grant Sanderson @3blue1brown ยท Jun 20, 2020
  • Curated in Recommended Books by 3Blue1Brown
Collections
See All
  • Grant Sanderson
    • Collection
    Recommended Books by 3Blue1Brown
    17 curations
  • upcarta ©2025
  • Home
  • About
  • Terms
  • Privacy
  • Cookies
  • @upcarta