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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
Some subjects generally considered to be part of analytic number theory, for example, sieve theory, [note 9] are better covered by the second rather than the first definition: some of sieve theory, for instance, uses little analysis, [note 10] yet it does belong to analytic number theory. The following are examples of problems in analytic ...
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 ...
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers , finite fields , and function fields .
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 ...
Much of analytic number theory was inspired by the prime number theorem. Let π(x) be the prime-counting function that gives the number of primes less than or equal to x, for any real number x. For example, π(10) = 4 because there are four prime numbers (2, 3, 5 and 7) less than or equal to 10.