Geodesic
Cyclic products of purely periodic irrationals
Journal of integer sequences, Tome 17 (2014) no. 4.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $\left(a_{0}, \dotsb ,a_{k-1} \right)$ be a sequence of positive integers and $m$ a positive integer. We prove that "almost every" real quadratic unit $\epsilon$ of norm (-1)$^{k}$ admits at least $m$ distinct factorizations into a product of purely periodic irrationals of the form
Classification : 11A55, 11N32, 37D20
Keywords: simple continued fraction, purely periodic irrational, prime represented by quadratic polynomial, linear automorphism of the torus, Anosov automorphism 
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     author = {Carroll, C.R.},
     title = {Cyclic products of purely periodic irrationals},
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     year = {2014},
     language = {en},
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Carroll, C.R. Cyclic products of purely periodic irrationals. Journal of integer sequences, Tome 17 (2014) no. 4. http://geodesic.mathdoc.fr/item/JIS_2014__17_4_a2/