Class number information

mathematics, class number may refer to Class number (group theory), in group theory, is the number of conjugacy classes of a group Class number (number theory)...

In mathematics, the Gauss class number problem (for imaginary quadratic fields), as usually understood, is to provide for each n ≥ 1 a complete list of...

In number theory, the class number formula relates many important invariants of a algebraic number field to a special value of its Dedekind zeta function...

In number theory, the ideal class group (or class group) of an algebraic number field K is the quotient group JK /PK where JK is the group of fractional...

number fields with class number 1. It is believed that there are infinitely many such number fields, but this has not been proven. The class number of...

(α + 1)-th number class is the cardinality immediately following that of the α-th number class. For a limit ordinal α, the α-th number class is the union...

In mathematics, the Hurwitz class number H(N), introduced by Adolf Hurwitz, is a modification of the class number of positive definite binary quadratic...

conjugacy class of a . {\displaystyle a.} The class number of G {\displaystyle G} is the number of distinct (nonequivalent) conjugacy classes. All elements...

In linguistics, a noun class is a particular category of nouns. A noun may belong to a given class because of the characteristic features of its referent...

Q [ − d ] {\displaystyle \mathbb {Q} \left[{\sqrt {-d}}\right]} has class number 1. Equivalently, the ring of algebraic integers of Q [ − d ] {\displaystyle...

K {\displaystyle K} has class number 1. Given a number field, the class number is often difficult to compute. The class number problem, going back to Gauss...

group in algebraic geometry). The number of elements in the class group is called the class number of K. The class number of Q(√-5) is 2. This means that...

and indeed it fails to detect that the number e is transcendental. But his work did provide a larger class of transcendental numbers, now known as Liouville...

function "expresses some arithmetical property of n". There is a larger class of number-theoretic functions that do not fit this definition, for example, the...

author's surname. Each assigned number consists of two parts: a class number (from the Dewey system) and a book number, which "prevents confusion of different...

previously been applied to the class of 1886, which produced a large number of general officers for World War I. Of this class, which includes John J. Pershing...

of binary quadratic forms. There remain some unsolved problems. The class number problem is particularly important. For a nonzero square free integer...

produce a highly functional design. The class lasted in service until July 1966, and the first member of the class, number C1, has been preserved by the National...

the Pontryagin classes, named after Lev Pontryagin, are certain characteristic classes of real vector bundles. The Pontryagin classes lie in cohomology...

vehicle registration plates in Bangladesh is "city - vehicle class letter and number - vehicle number". For example, : "DHAKA-D-11-9999". The "DHAKA" field represents...

natural numbers can be represented by classes of equivalent sets. For instance, the number 3 can be represented as the class of all sets that have exactly three...

in quadratic fields. This allows the class number of a quadratic field to be calculated by counting the number of reduced binary quadratic forms of a...