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»
Mathematica
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Mathematics and Algorithms
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Number Theory
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Algebraic Number Theory
>
NumberFieldClassNumber
>
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Number Theoretic Functions
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Algebraic Number Theory
>
NumberFieldClassNumber
>
BUILT-IN MATHEMATICA SYMBOL
Integer and Number Theoretic Functions
Tutorials »
|
NumberFieldDiscriminant
NumberFieldRegulator
See Also »
|
Algebraic Number Theory
New in 6.0: Number Theory & Integer Functions
More About »
NumberFieldClassNumber
NumberFieldClassNumber
[
]
gives the class number for the algebraic number field
generated by
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Find the class number of the algebraic number field
:
Find the class number of the algebraic number field
:
In[1]:=
Out[1]=
Scope
(2)
Class number of complex and real quadratic fields:
NumberFieldClassNumber
automatically threads over lists:
Applications
(1)
Value of the Dirichlet L-functions at
for the real primitive character modulo
:
Properties & Relations
(1)
Number of representations of 19 as a sum of 3 squares:
Possible Issues
(1)
Class number for some algebraic number fields may not be yet available:
SEE ALSO
NumberFieldDiscriminant
NumberFieldRegulator
TUTORIALS
Integer and Number Theoretic Functions
MORE ABOUT
Algebraic Number Theory
New in 6.0: Number Theory & Integer Functions
New in 6