Geodesic
On the theorem on cycles of Skubenko
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 16, Tome 263 (2000), pp. 7-19 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we give a new proof of the theorem due to B. F. Skubenko providing an estimate of the ratio between lengths of periods for two real quadratic irrationalities of the same discriminant. 
@article{ZNSL_2000_263_a1,
     author = {E. P. Golubeva},
     title = {On the theorem on cycles of {Skubenko}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     year = {2000},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_263_a1/}
}
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E. P. Golubeva. On the theorem on cycles of Skubenko. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 16, Tome 263 (2000), pp. 7-19. http://geodesic.mathdoc.fr/item/ZNSL_2000_263_a1/