Best Answer

It is not so much an equation, as a function. Since the definition is fairly complicated, I suggest you visit the Wikipedia page: http://en.wikipedia.org/wiki/Riemann_zeta_function

... or do additional Web searches either for "Riemann hypothesis" or "Riemann zeta function".

Q: What is the Riemann Hypothesis equation?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

No

Several mathematicians have addressed the Riemann hypothesis, but none of their attempts have yet been accepted as correct solutions.

Because even though a lot of people have worked on it, none of them has been able to either prove it or disprove it yet.

de Moirve's theorem, Pascal's triangle, Pythagoras triangle, Riemann hypothesis, Fermat's last theorem. and many more

Well, cauchy-riemann differential equation is a part of complex variables and in real-life applications such as engineering, it can be used in determining the flow of fluids, such as the flow around the pipe. In fluid mechanics, the cauchy-riemann equations are decribed by two complex variables, i.e. u and v, and if these two variables satisfy the equations in an open subset of R2, then the vector field can be asserted from the two cauchy-riemann equations, ux = vy (1) uy = - vx (2) This I think can help interpreting the potential flow (Wikipedia) in two dimensions using the cauchy-riemann equations. In fluid mechanics, the potential flow can be analyzed using the cauchy-riemann equations.

Related questions

Riemann hypothesis was created in 1859.

No

Riemann zeta function, Riemann hypothesis, Theory of higher dimensions, Riemannian metric

Several mathematicians have addressed the Riemann hypothesis, but none of their attempts have yet been accepted as correct solutions.

The Riemann Hypothesis was a conjecture(a "guess") made by Bernhard Riemann in his groundbreaking 1859 paper on Number Theory. The conjecture has remained unproven even today. It states the "The real part of the non trivial zeros of the Riemann Zeta function is 1/2"

There is more than one. You might be thinking of the Riemann hypothesis (also called the Riemann zeta-hypothesis). Or in Complex analysis we have Riemann mapping theorem and he certainly has many more attributed to him/ So, not sure which one you want to know about.

Short answer? Be smarter than everyone that has come before. The Riemann Hypothesis is a long-standing conjecture in mathematics that states that all non-trivial zeros of the Riemann zeta function lie on the critical line of 1/2. Despite much effort, a proof for the Riemann Hypothesis has not yet been found and it remains one of the most famous open problems in mathematics. Solving the Riemann Hypothesis requires a deep understanding of number theory and complex analysis, as well as a new insight or approach to the problem. Many mathematicians and researchers have attempted to solve the Riemann Hypothesis over the years, but so far, no proof has been accepted by the mathematical community. Until a proof is found, the Riemann Hypothesis remains one of the most important and challenging open problems in mathematics.

relation of cauchy riemann equation in other complex theorems

Because even though a lot of people have worked on it, none of them has been able to either prove it or disprove it yet.

riemann

Riemann did.

The almost unparalleled depth and impact of the concepts introduced by Riemann. His investigations in geometry led to Riemannian geometry. His investigations in trigonometric series gave us the modern definition of function and a first notion of the integral (Riemannian integral). His 9-page investigation into number theory founded the field of analytic number theory. Riemann was so ahead of his time that the "approximate functional equation" that he devised during the time of publication of his paper on number theory, was only rediscovered 40 years later after that Siegel investigated his notes. He is known for the Riemann Hypothesis, the biggest currently open problem in mathematics. He is also known for the development of variational methods and the application of the Dirichlet principle. An mathematician of such a caliber ... is very rare. I think that Riemann is in the same league as Grothendieck.