Riemann hypothesis, in number theory, hypothesis by German mathematician Bernhard Riemann concerning the location of solutions to the Riemann zeta function, which is connected to the prime number theorem and has important implications for the distribution of prime numbers.

Riemann's thesis studied the theory of complex variables and, in particular, what we now call Riemann surfaces. It therefore introduced topological methods into complex function theory.

Bernhard Riemann (1826 - 1866) - Biography - MacTutor History of ...

Bernhard Riemann made profound, far-sighted discoveries with lasting consequences for mathematics and our understanding of space, gravity, and time. Riemannian geometry completely reformed the field of geometry and became the mathematical foundation of Einstein's general theory of relativity.

The subject founded by this work is Riemannian geometry. Riemann found the correct way to extend into n dimensions the differential geometry of surfaces, which Gauss himself proved in his theorema egregium. The fundamental objects are called the Riemannian metric and the Riemann curvature tensor.

Bernhard Riemann was a pioneering mathematician whose contributions to the fields of analysis, number theory, and differential geometry have had a lasting impact on the field.

Many of math's greatest minds have tried to prove Bernhard Riemann's sweeping claim that there's order hiding beneath the apparent randomness of prime numbers. Do you think, like most mast ...

Do you think the Riemann Hypothesis is true? Will anyone ever prove it ...