# Riemann hypothesis

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## Riemann hypothesis

[′rē‚män hī‚päth·ə·səs]
(mathematics)
The conjecture that the only zeros of the Riemann zeta function with positive real part must have their real part equal to ½.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
As I pointed out in my November 21, 2015 column titled ''Mathematical' Enoch Opeyemi and the Making of Another Nigerian Intellectual 419er,'Opeyemi's only evidence for claiming to have solved the Riemann Hypothesis was that he presented a paper on the puzzle at the 'International Conference on Mathematics and Computer Science' in Vienna, Austria.
On her quest to conquer the Riemann Hypothesis, the greatest unsolved mathematical problem of her time, she turns to a theorem with a mysterious history that holds both the lock and key to her identity, and to secrets long buried during World War II in Germany.
In utilising all the time he meticulously saved by typing k' instead of ok' in his text interactions, Jawad has solved the 159-year-old math problem of the Riemann Hypothesis. "Yes, it is a problem that had baffled the world's best minds but this young man, using all the time that he had saved, bested all of them," said Dr Saira Khattak, professor of pure mathematics and number theory at the Quaid-e-Azam University, Islamabad.
Koyama was motivated by Gallagher's [4] approach to the prime number theorem under the Riemann hypothesis.
All I'll say is that in difficulty terms, it was somewhere between 2+2 and the Riemann Hypothesis. And I didn't have a clue how to tackle it.
Note that, for Selberg zeta-functions, the analogue of the Riemann hypothesis is usually valid.
Looking in turn at elementary methods, complex analysis methods, and probabilistic methods, he considers such topics as prime numbers, arithmetic functions, sieve methods, the method of van der Corput, the Euler gamma function, summation formulae, the prime number theorem and the Riemann hypothesis, two arithmetic application, primes in arithmetic progressions, densities, distributions of additive functions and mean values of multiplicative functions, and integers free of small prime factors.
This became known as the Riemann conjecture which evolved into the Riemann hypothesis as more supporting evidence became available.
Anyone in the mathematics circle will be aware that the Riemann Hypothesis is one of the biggest unanswered problems there is.
Hence, there is no logical reason why the standard 3D Navier-Stokes equations must always have solutions, even when the initial velocity vector field is smooth; if they do always have solutions, it is due to probability (see [6]) and not logic, just like the Collatz 3n + 1 Conjecture and the Riemann Hypothesis (see [3,4]).
Since 1859, no one has ever solved the Riemann hypothesis, the mathematical problem dealing with prime numbers--until Cambridge University Professor Andrew Martin proves it in 2012.

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