Geodesic
On the Equation $a^2+bc=n$ with Restricted Unknowns
M. Skałba1
1 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 2-3, pp. 137-145.

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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 $\sqrt {n}$.
DOI : 10.4064/ba8079-11-2016
Keywords: extend previous results concerning equation primes general non square moreover provide partial results patterns continued fractions sqrt

M. Skałba 1

1 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland 
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M. Skałba. On the Equation $a^2+bc=n$ with Restricted Unknowns. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 2-3, pp. 137-145. doi : 10.4064/ba8079-11-2016. http://geodesic.mathdoc.fr/articles/10.4064/ba8079-11-2016/

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