Difference between revisions of "Riemann hypothesis"

From Conservapedia
Jump to: navigation, search
(not really an improvement...)
(½)
Line 1: Line 1:
The '''Riemann hypothesis''' states that the non-trivial zeros of the [[Riemann Zeta function]] function all have real component <math>\frac{1}{2}</math>. The conjecture was first proposed by [[Bernhard Riemann]] in 1859 and is considered to be one of the greatest unsolved problem in mathematics. The hypothesis is one of [[Hilber]]'s twenty-three problems and  was listed as one of the seven [[Millennium problems]] by the Clay Mathematics Institute. There is a million dollar prize for its solution.<ref>http://www.claymath.org/millennium/</ref> The statement is essentially equivalent to the claim that the error term in the [[prime number theorem]] is small. Alternatively, the Riemann hypothesis can be thought of as a statement that the [[prime number]]s are very smoothly distributed.   
+
The '''Riemann hypothesis''' states that the non-trivial zeros of the [[Riemann Zeta function]] function all have real component &frac12;. The conjecture was first proposed by [[Bernhard Riemann]] in 1859 and is considered to be one of the greatest unsolved problem in mathematics. The hypothesis is one of [[Hilber]]'s twenty-three problems and  was listed as one of the seven [[Millennium problems]] by the Clay Mathematics Institute. There is a million dollar prize for its solution.<ref>http://www.claymath.org/millennium/</ref> The statement is essentially equivalent to the claim that the error term in the [[prime number theorem]] is small. Alternatively, the Riemann hypothesis can be thought of as a statement that the [[prime number]]s are very smoothly distributed.   
  
 
==References==
 
==References==

Revision as of 16:17, 22 July 2018

The Riemann hypothesis states that the non-trivial zeros of the Riemann Zeta function function all have real component ½. The conjecture was first proposed by Bernhard Riemann in 1859 and is considered to be one of the greatest unsolved problem in mathematics. The hypothesis is one of Hilber's twenty-three problems and was listed as one of the seven Millennium problems by the Clay Mathematics Institute. There is a million dollar prize for its solution.[1] The statement is essentially equivalent to the claim that the error term in the prime number theorem is small. Alternatively, the Riemann hypothesis can be thought of as a statement that the prime numbers are very smoothly distributed.

References

  1. http://www.claymath.org/millennium/
[[