Separation Theorem
There exist numbers 
, 
, 
, such that
where
, 2, ..., 
, 
and 
. Furthermore, the zeros 
, ..., 
, arranged in increasingorder, alternate with the numbers 
, ...
, so
More precisely,
for
, ..., 
.See also Poincaré Separation Theorem, Sturmian Separation Theorem
References
Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., p. 50, 1975.
- Radon Transform--Gaussian
- Radon Transform--Square
- Rado's Sigma Function
- Railroad Track Problem
- Ramanujan 6-10-8 Identity
- Ramanujan Constant
- Ramanujan Continued Fraction
- Ramanujan Cos/Cosh Identity
- Ramanujan-Eisenstein Series
- Ramanujan Function
- Ramanujan g- and G-Functions
- Ramanujan-Petersson Conjecture
- Ramanujan Psi Sum
- Ramanujan's Hypergeometric Identity
- Ramanujan's Hypothesis
- Ramanujan's Identity
- Ramanujan's Integral
- Ramanujan's Interpolation Formula
- Ramanujan's Master Theorem
- Ramanujan's Square Equation
- Ramanujan's Sum
- Ramanujan's Sum Identity
- Ramanujan's Tau-Dirichlet Series
- Ramanujan's Tau Function
- Ramanujan Theta Functions