Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Diophantine_equation
|
| gptkbp:application |
algebraic number theory
cryptography |
| gptkbp:category |
Quadratic Diophantine equations
|
| gptkbp:field |
gptkb:Number_theory
|
| gptkbp:form |
x^2 - Ny^2 = 1
|
| gptkbp:generalizes |
x^2 - Ny^2 = k
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pell's equation
|
| gptkbp:name |
non-square integer
|
| gptkbp:namedAfter |
gptkb:John_Pell
|
| gptkbp:relatedTo |
continued fractions
quadratic irrationals |
| gptkbp:solvedBy |
gptkb:Joseph-Louis_Lagrange
gptkb:Leonhard_Euler gptkb:Brahmagupta gptkb:Chakravala_method integer solutions continued fraction expansion |
| gptkbp:studiedBy |
gptkb:Indian_mathematicians
|
| gptkbp:unknowns |
x
y |
| gptkbp:bfsParent |
gptkb:Diophantine_equations
gptkb:John_Pell gptkb:Unsolved_Problems_in_Number_Theory gptkb:Archimedes'_cattle_problem gptkb:Diophantine_equation |
| gptkbp:bfsLayer |
6
|