SOLUTIONS TO PELL'S EQUATION VIA SUBORBITAL GRAPHS

OpenAlex İngilizce

In this study we investigate some new suborbital graphs derived from the action of a special subgroup of the modular group on the extended rationals. By considering these graphs we obtain some new results related to integer solutions to the Pell’s equation of the form x2 − py2 = 1 where p is a non-square positive integer.