KnowraPell equationLinked fromLinked fromThe 11 pages that link to Pell equation, each with the reason it gives.All 11Broader topic 3Related 7Compared with 1Diophantine equationBroader topic: Its integer solutions arise from continued fractions and form an infinite recurrence.Continued fractionRelated: Convergents to √D yield solutions to this equation.Disquisitiones ArithmeticaeRelated: The book studies integer solutions and recurring methods for equations of this form.Pythagorean tripleRelated: For fixed leg difference, triple conditions can be transformed into Pell-type equations.Algebraic integerBroader topic: Its integer solutions arise from powers of units in quadratic number fields.Dirichlet's approximation theoremRelated: Its solutions generate unusually accurate rational approximations to √D.Dirichlet's unit theoremRelated: Solutions correspond to norm-one units in quadratic rings, often generated from one unit.Bhāskara IIRelated: Problems equivalent to this equation illuminate the number-theoretic work in Bijaganita.Julia RobinsonBroader topic: Sequences of its solutions helped Robinson investigate Diophantine definitions of exponential growth.Ramanujan–Nagell equationCompared with: Both are classical integer problems with quadratic expressions, but their structures and solution patterns differ.Squared triangular numberRelated: The equation x² − 8y² = 1 encodes the triangular-square condition.