Sierpinski Constant
Let r(n) denote the number of representations of 
by 
squares, then the Summatory Functionof 
has the Asymptotic expansion
where
is the Sierpinski constant. The above plot shows 
with the value of
indicated as the solid horizontal line.See also r(n)
References
Sierpinski, W. Oeuvres Choisies, Tome 1. Editions Scientifiques de Pologne, 1974.
- Lebesgue-Stieltjes Integral
- Lebesgue Sum
- Le Cam's Identity
- Leech Lattice
- Lefshetz Fixed Point Formula
- Lefshetz's Theorem
- Lefshetz Trace Formula
- Leg
- Legendre Addition Theorem
- Legendre Differential Equation
- Legendre Duplication Formula
- Legendre Function of the First Kind
- Legendre Function of the Second Kind
- Legendre-Gauss Quadrature
- Legendre-Jacobi Elliptic Integral
- Legendre Polynomial
- Legendre Polynomial of the Second Kind
- Legendre Quadrature
- Legendre Relation
- Legendre's Chi-Function
- Legendre's Constant
- Legendre Series
- Legendre's Factorization Method
- Legendre's Formula
- Legendre's Quadratic Reciprocity Law