Mathematica > Mathematics and Algorithms > Number Theory > Prime Numbers > MangoldtLambda
Mathematica > Mathematics and Algorithms > Mathematical Functions > Number Theoretic Functions > Prime Numbers > MangoldtLambda
BUILT-IN MATHEMATICA SYMBOL

MangoldtLambda

MangoldtLambda[n]
gives the von Mangoldt function .

DetailsDetails

  • 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.

ExamplesExamplesopen allclose all

Basic Examples (2)Basic Examples (2)

The Mangoldt function returns the log of prime power base or zero when composite:

In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=

Plot the sequence:

In[1]:=
Click for copyable input
Out[1]=

Scope (4)Scope (4)

Properties & Relations (2)Properties & Relations (2)

Top
New in 7
Send Feedback
Mathematica 9 is now available!

400+ new features, including the new Wolfram Predictive Interface, social network analysis, enterprise CDF deployment, and more »

Try Now
Buy/Upgrade
New to Mathematica? Find your learning path »
Have a question? Ask support »