A series of the form

(1) |

(2) |

(3) |

(4) | |||

(5) | |||

(6) | |||

(7) | |||

(8) |

where is the Möbius Function, is the Totient Function, is the number of divisors of , is the Divisor Function, and is the number of representations of in the form where and are rational integers (Hardy and Wright 1979).

**References**

Abramowitz, M. and Stegun, C. A. (Eds.). ``Number Theoretic Functions.'' §24.3.1 in
*Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.*
New York: Dover, pp. 826-827, 1972.

Hardy, G. H. and Wright, E. M. *An Introduction to the Theory of Numbers, 5th ed.*
Oxford, England: Clarendon Press, pp. 257-258, 1979.

© 1996-9

1999-05-26