Search results
Results from the WOW.Com Content Network
Bernoulli number. Agoh–Giuga conjecture; Von Staudt–Clausen theorem; Dirichlet series; Euler product; Prime number theorem. Prime-counting function. Meissel–Lehmer algorithm; Offset logarithmic integral; Legendre's constant; Skewes' number; Bertrand's postulate. Proof of Bertrand's postulate; Proof that the sum of the reciprocals of the ...
This is a list of algebraic number theory topics. Basic topics. These topics are basic to the field, either as prototypical examples, or as basic objects of study ...
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.
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 Wikidata item; ... Pages in category "Theorems in number theory" The following 106 pages are in this category ...
J. Jozefiak proved that there are an infinite number of primitive Pythagorean triples that cannot satisfy the Beal equation. Further results are due to Chao Ko. [33] Peter Norvig, Director of Research at Google, reported having conducted a series of numerical searches for counterexamples to Beal's conjecture.
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.
1.1 Example. 2 Proof. 3 Generalization. 4 Applications. ... Download as PDF; Printable version; ... Gauss's lemma in number theory gives a condition for an integer to ...