Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 413-418
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A. S. Pen; B. F. Skubenko. Estimation from above of the period of a quadratic irrationality. Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 413-418. http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a2/
@article{MZM_1969_5_4_a2,
author = {A. S. Pen and B. F. Skubenko},
title = {Estimation from above of the period of a quadratic irrationality},
journal = {Matemati\v{c}eskie zametki},
pages = {413--418},
year = {1969},
volume = {5},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a2/}
}
TY - JOUR
AU - A. S. Pen
AU - B. F. Skubenko
TI - Estimation from above of the period of a quadratic irrationality
JO - Matematičeskie zametki
PY - 1969
SP - 413
EP - 418
VL - 5
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a2/
LA - ru
ID - MZM_1969_5_4_a2
ER -
%0 Journal Article
%A A. S. Pen
%A B. F. Skubenko
%T Estimation from above of the period of a quadratic irrationality
%J Matematičeskie zametki
%D 1969
%P 413-418
%V 5
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a2/
%G ru
%F MZM_1969_5_4_a2
The following result is established: let $l$ be the length of the period of a quadratic irrationality with discriminant $D>0$; then $l\ll D^{1/2+\varepsilon}$, where $\varepsilon$ is an arbitrarily small positive quantity.
