Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:algebraic_geometry
computer science cryptography |
| gptkbp:defines |
a problem that requires finding integer solutions to polynomial equations
|
| gptkbp:field |
gptkb:mathematics
number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Diophantine problem
|
| gptkbp:isSolvable |
undecidable in general
|
| gptkbp:namedAfter |
gptkb:Diophantus
|
| gptkbp:notableExample |
gptkb:Fermat's_Last_Theorem
gptkb:Pell's_equation gptkb:Mordell_equation |
| gptkbp:openProblem |
general algorithm for all Diophantine equations does not exist
|
| gptkbp:relatedTo |
gptkb:Hilbert's_tenth_problem
gptkb:Diophantine_equation |
| gptkbp:solvedBy |
various algorithms for special cases
|
| gptkbp:bfsParent |
gptkb:Diophantus
|
| gptkbp:bfsLayer |
6
|