Jacobi's four-square theorem
GPTKB entity
Statements (84)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:bfsLayer |
6
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| gptkbp:bfsParent |
gptkb:Fermat's_theorem_on_sums_of_two_squares
|
| gptkbp:applies_to |
gptkb:physicist
gptkb:computer_science natural numbers statistical analysis engineering mathematics |
| gptkbp:has_programs |
gptkb:currency
|
| gptkbp:historical_debate |
Jacobi
|
| gptkbp:historical_significance |
19th century mathematics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Jacobi's four-square theorem
|
| gptkbp:is_associated_with |
integer partitions
|
| gptkbp:is_atype_of |
sum of squares theorem
|
| gptkbp:is_cited_in |
gptkb:academic_journal
research papers scholarly articles mathematical literature academic theses mathematical reviews mathematical encyclopedias textbooks on algebra |
| gptkbp:is_connected_to |
representation theory
modular forms discrete mathematics |
| gptkbp:is_described_as |
textbooks on number theory
|
| gptkbp:is_discussed_in |
gptkb:academic_conferences
gptkb:Educational_Institution online forums mathematical journals mathematical blogs mathematical podcasts conferences on number theory |
| gptkbp:is_explored_in |
gptkb:Mathematician
mathematical research algebraic number theory mathematical proofs mathematical discussions mathematical workshops mathematical explorations number theory seminars |
| gptkbp:is_influenced_by |
Indian mathematics
philosophy of mathematics ancient mathematics historical mathematicians |
| gptkbp:is_influential_in |
gptkb:physicist
modern mathematics applied mathematics pure mathematics |
| gptkbp:is_part_of |
theoretical computer science
the history of mathematics additive number theory the study of integer sequences the field of combinatorics the study of mathematical structures the study of mathematical logic the study of quadratic residues |
| gptkbp:is_related_to |
gptkb:Fermat's_theorem_on_sums_of_two_squares
algebraic geometry the theory of modular forms the theory of partitions analytic number theory quadratic forms the study of algorithms the theory of limits combinatorial designs the theory of equations Waring's problem |
| gptkbp:is_standardized_by |
Lagrange's theorem on sums of squares
|
| gptkbp:is_studied_in |
advanced mathematics courses
online courses research institutions undergraduate mathematics courses combinatorial number theory graduate mathematics programs mathematical societies |
| gptkbp:is_used_in |
data analysis
quantitative research algorithm design mathematical modeling number theory |
| gptkbp:named_after |
gptkb:Carl_Gustav_Jacob_Jacobi
|
| gptkbp:related_to |
Lagrange's four-square theorem
|
| gptkbp:state |
Every natural number can be expressed as the sum of four integer squares.
|