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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
Download as PDF; Printable version; In other projects ... Square-free. Square-free integer; ... Computational number theory is also known as algorithmic number theory.
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 ...
The use of complex analysis in number theory comes later: the work of Bernhard Riemann (1859) on the zeta function is the canonical starting point; [77] Jacobi's four-square theorem (1839), which predates it, belongs to an initially different strand that has by now taken a leading role in analytic number theory (modular forms).
The David Goss Prize in Number theory, founded by the Journal of Number Theory, is awarded every two years, to mathematicians under the age of 35 for outstanding contributions to number theory. The prize is dedicated to the memory of David Goss who was the former editor in chief of the Journal of Number Theory. The current award is 10,000 USD.
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.
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1949 — Atle Selberg and Paul Erdős give the first elementary proof of the prime number theorem. 1966 — Chen Jingrun proves Chen's theorem, a close approach to proving the Goldbach conjecture. 1967 — Robert Langlands formulates the influential Langlands program of conjectures relating number theory and representation theory.