Difference between revisions of "Sum of divisors"

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=Properties=
 
=Properties=
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[[Sum of divisors functions written in terms of partition function]]<br />
  
 
=References=
 
=References=
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=findme|next=Sum of sum of divisors function equals product of Riemann zeta for Re(z) greater than k+1}}: $24.3.3 I.$
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* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=findme|next=Sum of sum of divisors function equals product of Riemann zeta for Re(z) greater than k+1}}: $24.3.3 I.A.$
  
 
{{:Number theory functions footer}}
 
{{:Number theory functions footer}}
  
 
[[Category:SpecialFunction]]
 
[[Category:SpecialFunction]]

Latest revision as of 20:50, 26 June 2016

The sum of positive divisors function, $\sigma_x$, is defined by $$\sigma_x(n) = \displaystyle\sum_{d|n} d^x,$$ where $d|n$ denotes that $d$ is a divisor of $n$.

Properties

Sum of divisors functions written in terms of partition function

References

Number theory functions