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gptkbp:instance_of
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gptkb:Mathematics
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gptkbp:challenges
|
gptkb:Mathematician
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gptkbp:has_a_focus_on
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gptkb:academic_research
research funding
mathematical speculation
|
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gptkbp:has_connection_to
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random matrix theory
|
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gptkbp:has_implications_for
|
number theory
quantum chaos
|
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gptkbp:has_not_been_proven_or_disproven
|
true or false
|
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https://www.w3.org/2000/01/rdf-schema#label
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Riemann hypothesis
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gptkbp:illustrated_by
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complex plots
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gptkbp:ingredients
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1859
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gptkbp:involves
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complex numbers
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gptkbp:is_a_conjecture_about
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zeros of functions
|
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gptkbp:is_a_foundation_for
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analytic number theory
|
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gptkbp:is_a_significant_problem_in
|
mathematics history
|
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gptkbp:is_a_subject_of
|
public interest
mathematical research
mathematical curiosity
mathematical exploration
mathematical seminars
mathematical challenges
mathematical inquiry
mathematical debates
mathematical investigation
numerical verification
|
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gptkbp:is_analyzed_in
|
mathematical studies
|
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gptkbp:is_associated_with
|
critical line in the complex plane
|
|
gptkbp:is_cited_in
|
mathematical textbooks
|
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gptkbp:is_connected_to
|
complex analysis
the distribution of zeros
|
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gptkbp:is_considered
|
one of the most important unsolved problems in mathematics
|
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gptkbp:is_discussed_in
|
academic papers
|
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gptkbp:is_essential_for
|
gptkb:crypt
|
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gptkbp:is_explored_in
|
computational methods
mathematical discussions
|
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gptkbp:is_linked_to
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gptkb:prime_number_theorem
|
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gptkbp:is_often_associated_with
|
Hilbert's problems
|
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gptkbp:is_often_compared_to
|
gptkb:Fermat's_Last_Theorem
|
|
gptkbp:is_often_discussed_in
|
mathematical literature
mathematical forums
|
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gptkbp:is_often_referenced_in
|
mathematical conferences
|
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gptkbp:is_often_visualized_using
|
graphs of the zeta function
|
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gptkbp:is_one_of
|
gptkb:Millennium_Prize_Problems
|
|
gptkbp:is_part_of
|
analytic number theory
|
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gptkbp:is_related_to
|
gptkb:Riemann_zeta_function
gptkb:Euler's_work_on_prime_numbers
Dirichlet series
|
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gptkbp:is_significant_for
|
gptkb:Physics
|
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gptkbp:is_studied_in
|
many mathematicians
|
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gptkbp:is_taught_in
|
advanced mathematics courses
|
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gptkbp:issues
|
distribution of prime numbers
|
|
gptkbp:key_concept
|
modern mathematics
|
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gptkbp:key_issues
|
mathematical research
theoretical mathematics
|
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gptkbp:main_theme
|
gptkb:Mathematics
|
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gptkbp:named_after
|
gptkb:Bernhard_Riemann
|
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gptkbp:proposed_by
|
gptkb:Bernhard_Riemann
|
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gptkbp:state
|
all non-trivial zeros of the Riemann zeta function have real part 1/2
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gptkbp:topics
|
analytic number theory
|
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gptkbp:bfsParent
|
gptkb:Bernhard_Riemann
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gptkbp:bfsLayer
|
4
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