Gauss's law of quadratic reciprocity
GPTKB entity
Properties (64)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical theorem
|
| gptkbp:appliesTo |
prime numbers
|
| gptkbp:description |
relationship between quadratic residues
|
| gptkbp:designedBy |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:hasHistoricalSignificance |
19th century mathematics
|
| gptkbp:hasRelatedPatent |
algebraic number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gauss's law of quadratic reciprocity
|
| gptkbp:isA |
reciprocity law
|
| gptkbp:isActiveIn |
mathematical journals
|
| gptkbp:isAssociatedWith |
algebraic equations
prime factorization combinatorial designs |
| gptkbp:isAvenueFor |
theoretical physics
statistical analysis data science combinatorial mathematics |
| gptkbp:isCitedIn |
mathematical proofs
|
| gptkbp:isConnectedTo |
Legendre symbol
|
| gptkbp:isConsidered |
mathematical modeling
mathematical conjectures a cornerstone of number theory one of the fundamental results in number theory |
| gptkbp:isDiscussedIn |
educational resources
academic papers mathematical conferences mathematical blogs |
| gptkbp:isExaminedBy |
research papers
graduate studies textbooks on number theory mathematical seminars |
| gptkbp:isExploredIn |
students
online courses mathematicians mathematical research |
| gptkbp:isInfluencedBy |
modern mathematics
|
| gptkbp:isLinkedTo |
gptkb:Jacobi_symbol
analytic number theory mathematical proofs number theoretic functions |
| gptkbp:isLocatedIn |
modular arithmetic
|
| gptkbp:isPartOf |
mathematical literature
theoretical mathematics mathematical history |
| gptkbp:isReflectedIn |
mathematical competitions
mathematical theories mathematical software |
| gptkbp:isRelatedTo |
Galois theory
computational mathematics number theory modular forms quadratic forms discrete mathematics algebraic structures Fermat's_little_theorem |
| gptkbp:isStudiedIn |
advanced mathematics courses
|
| gptkbp:isTaughtIn |
university courses
|
| gptkbp:isUsedBy |
determine solvability of quadratic equations
|
| gptkbp:isUsedFor |
cryptographic protocols
|
| gptkbp:isUsedIn |
cryptography
|
| gptkbp:isUtilizedIn |
algorithm design
mathematical modeling computer algorithms |
| gptkbp:isVisitedBy |
mathematical induction
|
| gptkbp:standardFeatures |
Law of Quadratic Reciprocity
|