The sum
|
(1) |
where runs through the residues Relatively Prime to , which is important in the representation of numbers by the
sums of squares. If (i.e., and ' are Relatively Prime), then
|
(2) |
For argument 1,
|
(3) |
where is the Möbius Function, and for general ,
|
(4) |
See also Möbius Function, Weyl's Criterion
References
Vardi, I. Computational Recreations in Mathematica. Redwood City, CA: Addison-Wesley, p. 254, 1991.
© 1996-9 Eric W. Weisstein
1999-05-25