Lagrange's four-square theorem

URI: https://gptkb.org/entity/Lagrange%27s_four-square_theorem
GPTKB entity
Properties (91)
Predicate Object
gptkbp:instanceOf gptkb:theorem
gptkbp:appliesTo natural numbers
gptkbp:causedBy gptkb:Joseph-Louis_Lagrange
gptkbp:firstPublished 1770
gptkbp:hasHistoricalSignificance in the development of number theory.
gptkbp:hasRelatedPatent mathematics
https://www.w3.org/2000/01/rdf-schema#label Lagrange's four-square theorem
gptkbp:influenced subsequent research in number theory.
gptkbp:isA theorem in combinatorial number theory.
theorem that has been generalized.
theorem that has been analyzed.
theorem that has been discussed.
theorem that has been explored.
theorem that has been referenced.
result in additive number theory
result in classical mathematics.
special case of the more general theorem.
theorem that has applications in physics.
theorem that has been acknowledged.
theorem that has been admired.
theorem that has been appreciated.
theorem that has been articulated.
theorem that has been celebrated.
theorem that has been cherished.
theorem that has been clarified.
theorem that has been commended.
theorem that has been critiqued.
theorem that has been defined.
theorem that has been documented.
theorem that has been elucidated.
theorem that has been emphasized.
theorem that has been established.
theorem that has been esteemed.
theorem that has been evaluated.
theorem that has been explained.
theorem that has been extended.
theorem that has been extolled.
theorem that has been featured.
theorem that has been formulated.
theorem that has been highlighted.
theorem that has been honored.
theorem that has been interpreted.
theorem that has been investigated.
theorem that has been lauded.
theorem that has been outlined.
theorem that has been popularized.
theorem that has been praised.
theorem that has been prioritized.
theorem that has been published.
theorem that has been recognized.
theorem that has been recorded.
theorem that has been refined.
theorem that has been respected.
theorem that has been revered.
theorem that has been showcased.
theorem that has been spotlighted.
theorem that has been summarized.
theorem that has been taught.
theorem that has been treasured.
theorem that has been valued.
theorem that has implications in computer science.
theorem that has inspired many mathematicians.
theorem with numerous proofs.
gptkbp:isAvenueFor cryptography.
gptkbp:isCitedIn many mathematical texts.
gptkbp:isConnectedTo quadratic forms
the theory of partitions.
gptkbp:isConsidered a milestone in mathematics.
a classic result.
gptkbp:isDiscussedIn mathematical journals.
mathematical seminars.
gptkbp:isExaminedBy number theory textbooks.
gptkbp:isExploredIn advanced mathematics courses.
historical mathematical literature.
gptkbp:isNamedAfter gptkb:Joseph-Louis_Lagrange
gptkbp:isPartOf the history of mathematics.
gptkbp:isRelatedTo the geometry of numbers.
sum of squares
the study of integer sequences.
the study of quadratic residues.
the study of representations of numbers.
Fermat's_theorem_on_sums_of_two_squares.
gptkbp:isStudiedIn mathematical research.
gptkbp:isUsedBy solve_Diophantine_equations.
gptkbp:isUsedFor n = a^2 + b^2 + c^2 + d^2
gptkbp:isUsedIn mathematical proofs.
computer algorithms for number representation.
gptkbp:isVisitedBy mathematical induction
gptkbp:relatedTo number theory
gptkbp:specialization Waring's_problem
gptkbp:state Every natural number can be expressed as the sum of four integer squares.