|
gptkbp:instanceOf
|
gptkb:mathematical_concept
|
|
gptkbp:award
|
1 million US dollars
|
|
gptkbp:category
|
conjectures
unsolved problems in mathematics
|
|
gptkbp:consequence
|
bounds on gaps between primes
distribution of primes in short intervals
distribution of zeros of L-functions
error term in the prime number theorem
|
|
gptkbp:considers
|
one of the Millennium Prize Problems
|
|
gptkbp:discusses
|
gptkb:Riemann's_1859_paper_"On_the_Number_of_Primes_Less_Than_a_Given_Magnitude"
|
|
gptkbp:field
|
number theory
|
|
gptkbp:formedBy
|
gptkb:Bernhard_Riemann
1859
|
|
gptkbp:generalizes
|
gptkb:Generalized_Riemann_hypothesis
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Riemann hypothesis
|
|
gptkbp:implies
|
many results in analytic number theory
|
|
gptkbp:influenced
|
distribution of prime numbers
|
|
gptkbp:offeredPrizeBy
|
gptkb:Clay_Mathematics_Institute
|
|
gptkbp:relatedTo
|
gptkb:Riemann_zeta_function
prime numbers
|
|
gptkbp:state
|
all nontrivial zeros of the Riemann zeta function have real part 1/2
|
|
gptkbp:status
|
unproven
|
|
gptkbp:studiedBy
|
mathematicians worldwide
|
|
gptkbp:bfsParent
|
gptkb:Hilbert's_problems
|
|
gptkbp:bfsLayer
|
4
|