TY - JOUR
AU - Bal Tamang
AU - Ajay Singh
PY - 2020/12/25
Y2 - 2021/04/12
TI - The Solvability of Polynomial Pell’s Equation
JF - Journal of Institute of Science and Technology
JA - JIST
VL - 25
IS - 2
SE - Note
DO - 10.3126/jist.v25i2.33749
UR - https://www.nepjol.info/index.php/JIST/article/view/33749
AB - This article attempts to describe the continued fraction expansion of ÖD viewed as a Laurent series x-1. As the behavior of the continued fraction expansion of ÖD is related to the solvability of the polynomial Pell’s equation p2-Dq2=1 where D=f2+2g is monic quadratic polynomial with deg g<deg f and the solutions p, q must be integer polynomials. It gives a non-trivial solution if and only if the continued fraction expansion of ÖD is periodic.
ER -