The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ (zeta), is a mathematical function of a complex variable defined as for Re (s) > 1, and its analytic continuation …

The Riemann zeta function is an extremely important special function of mathematics and physics that arises in definite integration and is intimately related with very deep results surrounding the prime …

Jul 23, 2025 · Riemann Zeta Function, denoted by ζ (s), is a mathematical function that is defined for complex numbers. It's named after the German mathematician Bernhard Riemann, who introduced it …

Nov 21, 2025 · Riemann zeta function, function useful in number theory for investigating properties of prime numbers. Written as ζ (x), it was originally defined as the infinite series ζ (x) = 1 + 2−x + 3−x + …

Dec 9, 2016 · The Riemann zeta function is one of the most important objects in modern math, and yet simply explaining what it is can be surprisingly tricky. The goal of this lesson is to do just that.

He did it in analysis (Riemann sums), in geometry (Riemannian metrics, later used by Einstein), in function theory (Riemann surfaces) – and in one paper that changed the course of number theory.

The Riemann zeta function is an important function in mathematics. An interesting result that comes from this is the fact that there are infinite prime numbers.