Authors: Н.Г.Чеботарев
Output data: Ленинград-Москва, 1937 г.
Inventory data: inventory № 056629
Annotation:
The book contains elements of the theory of algebraic numbers and ideals, but imbued with a connection with Galois theory, as well as elements of the analytical theory of ideals, brought to determine the density of primes belonging to separate classes of substitutions. The book consists of two chapters. The first one is devoted to the elementary theory of ideals. The author chose Zolotarev's theory as a basis, which brings the reader up to date faster and is more visual. Further, the author proved the equivalence of the definitions of Zolotarev and Dedekind. The second chapter is devoted to the analytical theory of ideals, with the aim of obtaining the results of analytical theory, which have important applications in the general theory of ideals.