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MangoldtLambda

MangoldtLambda[n]
gives the von Mangoldt function .
MORE INFORMATION
  • Integer mathematical function, suitable for both symbolic and numerical manipulation.
  • MangoldtLambda[n] gives zero unless n is a prime power, in which case it gives the logarithm of the prime.
EXAMPLESCLOSE ALL
Basic Examples   (2)
The Mangoldt function returns the log of prime power base or zero when composite:
Plot the sequence:
The Mangoldt function returns the log of prime power base or zero when composite:
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Out[1]=
In[2]:=
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Out[2]=
 
Plot the sequence:
In[1]:=
Click for copyable input
Out[1]=
Scope   (4)
Evaluate for large arguments:
Compute its Dirichlet transform:
MangoldtLambda threads element-wise over lists:
TraditionalForm formatting:
Properties & Relations   (2)
MangoldtLambda gives zero except for prime powers:
MangoldtLambda is neither additive or multiplicative:
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