Geodesic
About the partial quotients of one of the continued fractions
Čebyševskij sbornik, Tome 20 (2019) no. 1, pp. 298-306

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This paper is devoted to the computation of partial quotiens of decomposition of $\frac{a_m}{N_m}$ into a continued fraction, where ${a_m}$ and ${N_m}$ are parameters of a parallelepipedal grid, which is an approximation of a quadratic algebraic grid by a rational grid. The results of this work allow us to implement fast algorithms for calculating the quality function of these rational approximations.
Keywords: quadratic fields, approximation of algebraic grids, quality function, generalized parallelepipedal grid. 
@article{CHEB_2019_20_1_a19,
     author = {A. N. Kormacheva},
     title = {About the partial quotients of one of the continued fractions},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {298--306},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2019_20_1_a19/}
}
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A. N. Kormacheva. About the partial quotients of one of the continued fractions. Čebyševskij sbornik, Tome 20 (2019) no. 1, pp. 298-306. http://geodesic.mathdoc.fr/item/CHEB_2019_20_1_a19/