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

An exciting approach to the history and mathematics of number theory

-. . . the author-s style is totally lucid and very easy to read . . .the result is indeed a wonderful story.- -Mathematical Reviews

Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form p = x₂+ ny₂ details the history behind how Pierre de Fermat-s work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. The book also illustrates how results of Euler and Gauss can be fully understood only in the context of class field theory, and in addition, explores a selection of the magnificent formulas of complex multiplication.

Primes of the Form p = x₂+ ny₂, Second Edition focuses on addressing the question of when a prime p is of the form x₂