On the Equation $a^2+bc=n$ with Restricted Unknowns
Volume 64 / 2016
Bulletin Polish Acad. Sci. Math. 64 (2016), 137-145
MSC: 11E25, 11E16, 11A55.
DOI: 10.4064/ba8079-11-2016
Published online: 14 December 2016
Abstract
We extend our previous results concerning the equation $a^2+bc=n$ to all primes $n$ and deal also with the general case of non-square $n$. Moreover, we provide partial results on patterns of ‘1’ and ‘11’ in the continued fractions of $\sqrt {n}$.
