Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
algebraic number theory
cryptography |
| gptkbp:defines |
polynomial equations with integer coefficients to be solved over the integers
|
| gptkbp:example |
gptkb:Fermat's_Last_Theorem
ax + by = c x^2 + y^2 = z^2 |
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Diophantine equations
|
| gptkbp:namedAfter |
gptkb:Diophantus_of_Alexandria
|
| gptkbp:notableAchievement |
Fermat's Last Theorem proved by Andrew Wiles
|
| gptkbp:property |
undecidable in general
finite or infinite number of solutions |
| gptkbp:relatedTo |
gptkb:Pell's_equation
gptkb:Hilbert's_tenth_problem linear Diophantine equation quadratic Diophantine equation |
| gptkbp:solvedBy |
integer solutions
natural number solutions |
| gptkbp:studiedBy |
gptkb:mathematician
gptkb:ancient_Greece |
| gptkbp:bfsParent |
gptkb:Fermat's_Last_Theorem
gptkb:Number_theory gptkb:Algebraic_number_theory gptkb:Faltings's_theorem |
| gptkbp:bfsLayer |
5
|