Work

On the resolution of simultaneous Pell equations

Year: 2007
Type: article
Abstract: We descibe an alternative procedure for solving automatically simultaneous Pell equations with relatively small coefficients.The word "automatically" means to indicate that the algorithm can be implemented in Magma.Numerous famous examples are verified and a new theorem is proved by running simply the corresponding Magma procedure requires only the six coefficients of the system a1x 2 + b1y 2 = c1, a2x 2 + b2z 2 = c2.
Language: English
Open Access status: green
OpenAlex ID: W26987041
FWCI: 1.485
Cites: 17
Cited by: 23
Related to: 10