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DOCUMENTATION CENTER SEARCH
Mathematica
>
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>
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Number Theoretic Functions
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Built-in
Mathematica
Symbol
Integer and Number Theoretic Functions
Tutorials »
|
DivisorSum
EulerPhi
Divisors
Divisible
See Also »
|
Additive Number Theory
Analytic Number Theory
Mathematical Functions
Multiplicative Number Theory
Number Theoretic Functions
Number Theory
More About »
DivisorSigma
DivisorSigma
[
k
,
n
]
gives the divisor function
.
MORE INFORMATION
Integer mathematical function, suitable for both symbolic and numerical manipulation.
is the sum of the
k
powers of the divisors of
n
.
DivisorSigma
[
k
,
n
,
GaussianIntegers
->
True
]
includes divisors that are Gaussian integers.
DivisorSigma
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
In[1]:=
Out[1]=
Sum of divisors:
In[2]:=
Out[2]=
Sum of squares of divisors:
In[3]:=
Out[3]=
Plot the number of divisors:
In[1]:=
Out[1]=
Sums of divisors:
In[2]:=
Out[2]=
Sums of squared divisors:
In[3]:=
Out[3]=
Scope
(2)
Generalizations & Extensions
(2)
Options
(1)
Applications
(4)
Properties & Relations
(4)
Possible Issues
(1)
Neat Examples
(2)
SEE ALSO
DivisorSum
EulerPhi
Divisors
Divisible
TUTORIALS
Integer and Number Theoretic Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Additive Number Theory
Analytic Number Theory
Mathematical Functions
Multiplicative Number Theory
Number Theoretic Functions
Number Theory
New in 1
. 
is the sum of the k
powers of the divisors of n.
EXAMPLES
Basic Examples 
Scope 