Let r(n) denote the number of representations of by squares, then the Summatory Function
of has the Asymptotic expansion

where is the Sierpinski constant. The above plot shows

with the value of indicated as the solid horizontal line.

**References**

Sierpinski, W. *Oeuvres Choisies, Tome 1.* Editions Scientifiques de Pologne, 1974.

© 1996-9

1999-05-26