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An example of an active area of research in algebraic number theory is Iwasawa theory. The Langlands program , one of the main current large-scale research plans in mathematics, is sometimes described as an attempt to generalise class field theory to non-abelian extensions of number fields.
Download as PDF; Printable version; In other projects ... This is a list of algebraic number theory topics. Basic topics. These topics are basic to the field, either ...
Download QR code; Print/export Download as PDF; Printable version; In other projects ... Computational number theory is also known as algorithmic number theory ...
1. The class number of a number field is the cardinality of the ideal class group of the field. 2. In group theory, the class number is the number of conjugacy classes of a group. 3. Class number is the number of equivalence classes of binary quadratic forms of a given discriminant. 4. The class number problem. conductor
1.1 Example. 2 Proof. 3 Generalization. ... Download as PDF; Printable version; ... Gauss's lemma in number theory gives a condition for an integer to be a quadratic ...
Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to sidebar hide This is a list of mathematical ... Transcendental number theory;
Traditionally, number theory is the branch of mathematics concerned with the properties of integers and many of its open problems are easily understood even by non-mathematicians. More generally, the field has come to be concerned with a wider class of problems that arise naturally from the study of integers.
Download as PDF; Printable version; In other projects Wikidata item; ... Pages in category "Theorems in number theory" The following 106 pages are in this category ...