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Simultaneous Pellian equations

1988/01/01 by Richard G. E. Pinch · 1 citation
Computer Science · Mathematics · #Polynomial and algebraic computation #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications

paper · doi:10.1017/s0305004100064598

openalex publication_date 1988/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

Abstract

In this paper we describe a method for finding integer solutions of simultaneous Pellian equations, that is, integer triples ( x , y , z ) satisfying equations of the form where the coefficients a , b , c , d , f are integers and we assume that a , c , and ac are not square.

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