Linked from

The 41 pages that link to Diophantine equation, each with the reason it gives.

• IntegerRelated: It asks when integer values satisfy equations exactly.

• Algebraic numberRelated: Questions about algebraic roots often lead to arithmetic constraints on polynomial solutions.

• Pierre de FermatRelated: Many problems Fermat posed ask whether integer solutions to particular equations exist.

• BrahmaguptaRelated: Brahmagupta’s work on integer solutions belongs to a problem tradition also associated with Diophantus.

• Polynomial equationRelated: Restricting solutions to integers turns polynomial solving into a number-theoretic problem.

• IdealRelated: Ideals help organize divisibility constraints in integer equations.

• Collatz conjectureRelated: Cycle and trajectory questions can be translated into arithmetic constraints on integers.

• Siegel's lemmaRelated: The lemma produces small integer relations that can constrain or construct solutions.

• Lifting-the-exponent lemmaRelated: Valuation bounds from LTE can rule out integer solutions to power equations.

• Sophie Germain's identityRelated: Integer substitutions turn the identity into constraints on solutions and divisibility.

• Bruck–Ryser–Chowla theoremRelated: The theorem’s obstructions depend on whether a parameter-defined equation has integer solutions.

• Squared triangular numberRelated: Finding these numbers amounts to solving for integers whose triangular number is a square.