Gauss's circle problem

GPTKB entity

Statements (63)
Predicate Object
gptkbp:instance_of gptkb:Mathematics
gptkbp:depicts asymptotic analysis
gptkbp:example geometric probability
gptkbp:field number theory
gptkbp:has_applications_in combinatorial geometry
gptkbp:has_expansion higher dimensions
gptkbp:has_historical_significance the development of number theory
gptkbp:has_implications_for theoretical computer science
https://www.w3.org/2000/01/rdf-schema#label Gauss's circle problem
gptkbp:involves circle area
gptkbp:involves_counting points within a circle
gptkbp:is_a Problem in number theory
gptkbp:is_a_classic_problem_in mathematical analysis
gptkbp:is_a_foundational_problem_in the study of lattice points
gptkbp:is_a_problem_that_can_be_approached_with geometric methods
gptkbp:is_a_problem_that_can_be_related_to random walks
gptkbp:is_a_problem_that_can_be_visualized_using graphical representations
gptkbp:is_a_problem_that_has numerous applications in science
gptkbp:is_a_problem_that_has_been_analyzed_for its computational complexity
over two centuries
gptkbp:is_a_problem_that_has_been_approached_from various mathematical perspectives
gptkbp:is_a_problem_that_has_been_discussed_in mathematical conferences
gptkbp:is_a_problem_that_has_been_explored_in the context of combinatorial optimization
gptkbp:is_a_problem_that_has_been_featured_in mathematical journals
gptkbp:is_a_problem_that_has_been_generalized_to_include gptkb:crypt
gptkbp:is_a_problem_that_has_been_linked_to the study of algorithms.
gptkbp:is_a_problem_that_has_been_solved_using numerical simulations
gptkbp:is_a_problem_that_has_been_used_to_teach concepts in geometry
gptkbp:is_a_problem_that_has_inspired many mathematical conjectures
gptkbp:is_a_problem_that_leads_to further research in number theory
gptkbp:is_a_subject_of research studies
mathematical competitions
mathematicians and computer scientists
gptkbp:is_analyzed_in Fourier analysis
gptkbp:is_connected_to the theory of modular forms
Waring's problem
the Riemann hypothesis
gptkbp:is_discussed_in academic papers
gptkbp:is_essential_for algorithm design
gptkbp:is_explored_in advanced mathematics courses
gptkbp:is_often_referenced_in mathematical literature
gptkbp:is_often_solved_using computational techniques
gptkbp:is_often_visualized_with graphs and diagrams
gptkbp:is_related_to gptkb:Gaussian_integers
the distribution of prime numbers
the geometry of numbers
the Erdős– Moser problem
the circle packing theorem
gptkbp:is_represented_in an inequality
gptkbp:is_significant_for computational geometry
gptkbp:is_solved_using analytic number theory
gptkbp:is_studied_in discrete geometry
many mathematicians
gptkbp:is_used_in gptkb:Graphics_Processing_Unit
gptkbp:issues lattice points
number of lattice points in a circle.
gptkbp:often_includes mathematics curricula
gptkbp:originated_in gptkb:Carl_Friedrich_Gauss
gptkbp:performance numerical methods
gptkbp:was_first_posed_in 1808
gptkbp:was_involved_in sphere packing problem
gptkbp:bfsParent gptkb:Carl_Friedrich_Gauss
gptkbp:bfsLayer 4