$1,000,000 on offer for solving ‘Millennium Prize problem’
“As far as I am concerned, the Riemann Hypothesis remains open,” said Martin Bridson, president of Clay Mathematics Institute, when asked about the claim by Hyderabad-based Kumar Eswaran of solving the problem that has puzzled mathematicians for past 162 years. Riemann Hypothesis is one of the Millennium Prize problems, for which $1,000,000 had been announced by the CMI from their inception in 2000. The problems are considered “important classic questions that have resisted solution over the years”.
The Riemann Hypothesis, postulated by German mathematician G.F.B. Riemann, is about prime numbers and their distribution. While the distribution does not follow any regular pattern, Riemann believed that the frequency of prime numbers is closely related to an equation called the Riemann Zeta function.
Experts have said that solving the hypothesis could open the doors for the use of primes in cryptography and also impact the number theory. A number of theorems also depend on solving of the hypothesis. The solution of the Riemann Hypothesis will allow algorithms to be processed faster.
The Riemann Hypothesis is one of seven unsolved “Millennium Prizes" from the Clay Mathematics Institute of Cambridge and has promised an award worth $1 million to the person who solves it.
Here's what you need to know about Riemann Hypothesis"
--According to the Clay Mathematics Institute, German mathematician Georg Friedrich Bernhard Riemann observed that the frequency of prime numbers is very closely related to the behaviour of an elaborate function ζ(s) = 1 + 1/2s + 1/3s + 1/4s + called the Riemann Zeta function. The Riemann Hypothesis asserts that all interesting solutions of the equation ζ(s) = 0 lie on a certain vertical straight line. According to Research Matters, the Riemann Hypothesis, from a technical point of view, is a prediction about the solutions of an equation involving ‘L-functions’, which can be described as "esoteric and abstruse".
--Riemann showed that the primes and the zeros of the zeta function-a special L-function-are related, and though primes fail to show any respect for rules and discipline, the zeros exhibit a pattern; they all line up on 'the critical line', Research Matters noted.
--In a statement, the SNIST said, “The genesis of the problem arose from the work of the great mathematician Carl Friedrich Gauss (1777-1855) who had written down a formula which can be used to approximately predict the number of prime numbers below any given number. Georg Friedrich Bernhard Riemann (1826-1866) improved the formula by using entirely original methods involving the calculus of functions of a complex variable”
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Reimann Hypothesis video • गणित के इस सवाल को हल ...
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Proposed disproof of Reimann hypothesis - empslocal.ex.ac...
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आखिर कब, क्यों और कैसे होगा पाई का अंत | Mystery of pi | End of pi | what is pi part -3
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4 окт 2024
