The function obtained by approximating the Riemann Weighted Prime-Power Counting Function in

(1) |

(2) | |||

(3) |

where is the Riemann Zeta Function, is the Möbius Function, and is the Logarithmic Integral. Then

(4) |

**References**

Berndt, B. C. *Ramanujan's Notebooks, Part IV.* New York: Springer-Verlag, 1994.

Conway, J. H. and Guy, R. K. *The Book of Numbers.* New York: Springer-Verlag, pp. 144-145, 1996.

Riesel, H. and Göhl, G. ``Some Calculations Related to Riemann's Prime Number Formula.'' *Math. Comput.* **24**, 969-983, 1970.

Wagon, S. *Mathematica in Action.* New York: W. H. Freeman, pp. 28-29 and 362-372, 1991.

© 1996-9

1999-05-25