Primes of the Form $x^2 + ny^2$ James A. Marley Drawing upon the rich archival

Drawing upon the rich archival materials in both the Archives of the Armenian Patriarchate of Constantinople and the Ottoman Archives

and underutilization of market incentives are justified

the mansions and people who inhabited them represented the cultural life

will find this compact volume to be of the utmost value

Primes of the Form $x^2 + ny^2$ James A. Marley Drawing upon the rich archivalThis book studies when a prime $p$ can be written in the form $x^{2} + ny^{2}$. It begins at an elementary level with results of Fermat and Euler and then discusses the work of Lagrange, Legendre and Gauss on quadratic reciprocity and the genus theory of quadratic forms. After exploring cubic and biquadratic reciprocity, the pace quickens with the introduction of algebraic number fields and class field theory. This leads to the concept of ring class