Geodesic
On the Equation $a^2+bc=n$ with Restricted Unknowns
M. Skałba 1
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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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     title = {On the {Equation} $a^2+bc=n$ with {Restricted} {Unknowns}},
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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

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