Riemann Hypothesis: A Simple Example
Site of "The general Science Journal" an astonishing simple proof of the Riemann Hypothesis
"A Simple Proof of the Riemann Hypothesis" ..
In addition to simpler proofs of existing theorems, new theorems by Landauinclude important facts about Riemann's Hypothesis;facts about Dirichlet series;key lemmas of analysis;a result in Waring's Problem;a generalization of the Little Picard Theorem;a partial proof of Gauss' conjecture about the density of classesof composite numbers;and key results in the theory of pecking orders, e.g.
Aizenberg, (12/2007)[abstract:] "We present an elementary, short and simple proof of the validity of the Lindelöf hypothesis about the Riemann zeta-function.
Riemann zeta function - Wikipedia
The most ancient Hindu records did not use theten digits of Aryabhata, but rather a systemsimilar to that of the ancient Greeks, suggesting thatChina, and not India, may indeed be the "ultimate" source of the moderndecimal system.
Müller's comments on why this 'proof' is flawed.]
Xian-Shun Luo, (12/2008) [abstract:] "In this paper we will give a simple proof of Riemann Hypothesis, considered to be one of the greatest unsolved problem in mathematics, related to inverse scattering problem and radom matrices.
List of the Greatest Mathematicians ever and their Contributions
One of the problems with explaining the Riemann Hypothesis is that its fascination comes from its deep connection to prime numbers, but its definition is in terms of complex analysis which requires a fair deal of undergraduate mathematics to understand -- and that is before you even got started to grasp what the heck the zeta-zeros have to do with the distribution of primes. My "cocktail party explanation" of the Riemann Hypothesis would usually be something like: "The prime numbers are as equally distributed as you could wish for." But there is actually a surprisingly easy interpretation of the Riemann Hypothesis: "Prime numbers behave like a random coin toss."
Of this Heaviside said,"Should I refuse a good dinner simply because I do notunderstand the process of digestion?"
Sofia Kovalevskaya (aka Sonya Kowalevski;née Korvin-Krukovskaya)was initially self-taught, sought out Weierstrass as her teacher,and was later considered the greatest female mathematician ever(before Emmy Noether).
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The Riemann zeta function ζ(s) is a function of a complex variable s = σ + it
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Although fails to converge for , can be continued analytically to the entire complex plane except for where the zeta function has a simple pole. The famous Riemann Hypothesis is that all zeros of this function lie on the line where (called the critical line). It is known that there are infinitely many zeros located on the line. Zeros on this line occur where the little square in the animation passes through the coordinate.
Hypothesis - Simple English Wikipedia, the free …
The proof is so simple that we suspect that there could be an error thatwe are unable to find."
, , 23 September 2013"Yessenbek Ushtenov, a mechanical engineer from Saryagash town, Kazakhstan, claims to to have solved one of the seven problems of the millennium, the Riemann hypothesis, Alau-Kazakhstan public-political magazine writes..."
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