A simple solvability criterion for the negative Pell equation

J Kuzmanis (1)

1 Macibu Gramata

Provided solution of positive Pell equation is known, a simple criterion for the solution existence of the corresponding negative Pell equation is proposed.

Mots clés: Positive/negative Pell equation; quadratic irrationalities; Primary 11D09; Secondary 11R29; quadratic irrationalities AMS Classification: Primary 11D09

Domaines: Théorie des nombres [math.NT]

J Kuzmanis. A simple solvability criterion for the negative Pell equation. 2021. ⟨hal-02502164v2⟩