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In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 12. It was proposed by Bernhard Riemann (1859), after whom it is named.

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Is Riemann hypothesis is solved?

Sorry, the Riemann Hypothesis Has Almost Certainly Not Been Solved. Rumors are swirling that Opeyemi Enoch, a professor from the Federal University of Oye Ekiti in Nigeria, has solved the Riemann Hypothesis, a problem that has vexed mathematicians for over 150 years. Too bad it's not true.Nov 17, 2015

Sorry, the Riemann Hypothesis Has Almost Certainly Not Been Solved

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What is the zeta function?

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 + 4 ^−x + ⋯.When x = 1, this series is called the harmonic series, which increases without bound—i.e., its sum is infinite.

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What is a non trivial zero?

Riemann Zeta Function Zeros. Zeros of the Riemann zeta function come in two different types. So-called "trivial zeros" occur at all negative even integers , , , ..., and "nontrivial zeros" occur at certain values of satisfying. (1) for in the "critical strip" .

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What is the Riemann hypothesis for dummies?

The Riemann Hypothesis For Dummies. The Riemann Hypothesis is a problem in mathematics which is currently unsolved. To explain it to you I will have to lay some groundwork. First: complex numbers, explained. ... This is a two-dimensional set of numbers.

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Riemann hypothesis - Wikipedia

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In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 12. It was proposed by Bernhard Riemann (1859), after whom it is named.

‎Grand Riemann hypothesis · ‎Generalized Riemann · ‎Riemann zeta function

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Riemann Hypothesis -- from Wolfram MathWorld

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by EW Weisstein - ‎2002 - ‎Cited by 6 - ‎Related articles

First published in Riemann's groundbreaking 1859 paper (Riemann 1859), the Riemann hypothesis is a deep mathematical conjecture which states that the nontrivial Riemann zeta function zeros, i.e., the values of other than , , , ... such that (where is the Riemann zeta function) all lie on the "critical line" (where ...

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Riemann Hypothesis | Clay Mathematics Institute

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Riemann Hypothesis. Some numbers have the special property that they cannot be expressed as the product of two smaller numbers, e.g., 2, 3, 5, 7, etc. Such numbers are called prime numbers, and they play an important role, both in pure mathematics and its applications. The distribution of such prime numbers among all ...