Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex MultiplicationAn exciting approach to the history and mathematics of numbertheory “. . . the author’s style is totally lucid and veryeasy to read . . .the result is indeed a wonderful story.”—Mathematical Reviews Primes of the Form p = x2 +ny2, Second Edition focuses onaddressing the question of when a prime p is of the formx2 + ny2,which serves as the basis for further discussion of variousmathematical topics. This updated edition has several new notablefeatures, including: • A well-motivated introduction to the classicalformulation of class field theory • Illustrations of explicit numerical examples todemonstrate the power of basic theorems in various situations • An elementary treatment of quadratic forms and genustheory • Simultaneous treatment of elementary and advancedaspects of number theory • New coverage of the Shimura reciprocity law and aselection of recent work in an updated bibliography Primes of the Form p = x2 +ny2, Second Edition is both a usefulreference for number theory theorists and an excellent text forundergraduate and graduate-level courses in number and Galoistheory. |