Riemann function may refer to one of the several functions named after the mathematician Bernhard Riemann, including: Riemann zeta function Thomae's function, also called the Riemann function Riemann theta function, Riemann function, used in the Riemann method of solving the linear Goursat problem. Riemann's R, an approximation of the prime-counting function π(x); see . Almost nowhere differentiable Riemann function, which the Weierstrass function (nowhere-differentiable function) is based on.