Primes of the form $x^2 + ny^2$: fermat, class field theory, and complex multiplication. third edition with solutions
Auteur :
Cox, David A.
Éditeur :
American Mathematical Society
ISBN :
9781470470289
Date de publication :
30 déc. 2022
Dimensions :
25,4 x 17,8 cm
Poids :
962 g
Langue :
Anglais
Pays d'origine :
USA
Examines when a prime $p$ can be written in the form $x^{2} + ny^{2}$. The book 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.