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MangoldtLambda

MangoldtLambda[n]
gives the von Mangoldt function .
  • 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.
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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Plot the sequence:
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Click for copyable input
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Evaluate for large arguments:
Compute its Dirichlet transform:
MangoldtLambda threads element-wise over lists:
TraditionalForm formatting:
MangoldtLambda gives zero except for prime powers:
MangoldtLambda is neither additive or multiplicative:
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