New in Wolfram Mathematica 6: Extended Number Theory Support  previous | next 
Complete Ramanujan Tau Functions
Mathematica 6 adds state-of-the-art Ramanujan tau function computation; this is the distribution of tau function values.
In[1]:=

Click for copyable input
ListLinePlot[

 BinCounts[

  Table[RamanujanTau[p]/(2 p^(11/2)), {p, Prime[Range[1000]]}], 0.02],

  Filling -> Axis]
Out[1]=