Littlewood's four-square theorem
GPTKB entity
Properties (79)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:theorem
|
| gptkbp:appliesTo |
natural numbers
|
| gptkbp:hasRelatedPatent |
computer science
|
| https://www.w3.org/2000/01/rdf-schema#label |
Littlewood's four-square theorem
|
| gptkbp:isA |
result in mathematics
theorem in number theory. classical result. classical theorem. fundamental theorem. theorem in additive combinatorics. |
| gptkbp:isActiveIn |
algebraic number theory.
|
| gptkbp:isAvenueFor |
mathematical modeling.
computer algorithms. mathematical analysis. statistical analysis. |
| gptkbp:isCitedBy |
mathematicians.
scholarly articles. mathematical researchers. research in number theory. |
| gptkbp:isCitedIn |
mathematical literature
academic journals. |
| gptkbp:isConnectedTo |
the theory of equations.
the theory of quadratic residues. the theory of forms. the theory of limits. Fermat's_theorem_on_sums_of_two_squares. |
| gptkbp:isDiscussedIn |
mathematical literature.
mathematical seminars. mathematical workshops. academic discussions. number theory textbooks conferences on number theory. |
| gptkbp:isEquippedWith |
Lagrange's_theorem_on_sums_of_squares.
|
| gptkbp:isExploredIn |
mathematical research papers
theoretical mathematics. advanced mathematics courses. mathematical explorations. graduate mathematics programs. mathematical_conferences. |
| gptkbp:isInfluencedBy |
Lagrange's_work.
the_work_of_Carl_Friedrich_Gauss. the_work_of_Henri_Poincaré. the_work_of_Joseph-Louis_Lagrange. the_work_of_Pierre_de_Fermat. |
| gptkbp:isPartOf |
additive number theory
the history of mathematics. the study of mathematical logic. the curriculum of mathematics. the foundation of number theory. the study of sums of squares. |
| gptkbp:isRelatedTo |
quadratic forms
the study of prime numbers. the study of algebraic integers. integer partitions. the study of algebra. the study of sequences. modular arithmetic. representation of numbers. the study of calculus. the study of combinatorics. the study of functions. Waring's_problem |
| gptkbp:isStudiedIn |
academic research.
number theory research. mathematical analysis. mathematical courses. |
| gptkbp:isUsedBy |
solve_Diophantine_equations.
|
| gptkbp:isUsedIn |
combinatorial number theory
cryptography. mathematical proofs. theoretical computer science. theoretical physics. mathematical simulations. |
| gptkbp:isVisitedBy |
mathematical induction
|
| gptkbp:namedAfter |
gptkb:John_Edensor_Littlewood
|
| gptkbp:relatedTo |
number theory
|
| gptkbp:standardFeatures |
gptkb:Lagrange's_four-square_theorem
|
| gptkbp:state |
Every natural number can be expressed as the sum of four integer squares.
|
| gptkbp:wasEstablishedIn |
1912
|