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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:category
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gptkb:Millennium_Prize_Problems
unsolved problems in mathematics
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gptkbp:citation
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gptkb:Riemann's_1859_paper_"On_the_Number_of_Primes_Less_Than_a_Given_Magnitude"
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gptkbp:considers
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one of the Millennium Prize Problems
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gptkbp:field
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complex analysis
number theory
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gptkbp:formedBy
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gptkb:Bernhard_Riemann
1859
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gptkbp:generalizes
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gptkb:Generalized_Riemann_Hypothesis
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gptkbp:hasPartialResults
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many zeros verified numerically
no counterexample found
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https://www.w3.org/2000/01/rdf-schema#label
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Riemann Hypothesis
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gptkbp:implies
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many results in analytic number theory
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gptkbp:influenced
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distribution of prime numbers
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gptkbp:offeredPrizeAmount
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1 million US dollars
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gptkbp:offeredPrizeBy
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gptkb:Clay_Mathematics_Institute
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gptkbp:relatedTo
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gptkb:Riemann_zeta_function
prime numbers
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gptkbp:state
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all nontrivial zeros of the Riemann zeta function have real part 1/2
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gptkbp:status
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unproven
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gptkbp:bfsParent
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gptkb:Generalized_Riemann_Hypothesis
gptkb:Riemann_zeta_function
gptkb:Riemann_zeta_function_(when_χ_is_trivial)
gptkb:Clay_Millennium_Prize
gptkb:Analytic_number_theory
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gptkbp:bfsLayer
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5
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