Geodesic
On inhomogeneous diophantine approximation with some quasi-periodic expressions, II
Journal de théorie des nombres de Bordeaux, Tome 11 (1999) no. 2, pp. 331-344

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We consider the values concerning

ℳ(θ,φ)=lim inf |q|→∞ |q|||q θ -φ||
where the continued fraction expansion of θ has a quasi-periodic form. In particular, we treat the cases so that each quasi-periodic form includes no constant. Furthermore, we give some general conditions satisfying ℳ(θ,φ)=0.

On s’intéresse aux valeurs de

ℳ(θ,φ)=lim inf |q|→∞ |q|||q θ -φ||
lorsque θ est un réel ayant un développement en fraction continue quasi-périodique.

@article{JTNB_1999__11_2_331_0,
     author = {Komatsu, Takao},
     title = {On inhomogeneous diophantine approximation with some quasi-periodic expressions, {II}},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {331--344},
     publisher = {Universit\'e Bordeaux I},
     volume = {11},
     number = {2},
     year = {1999},
     mrnumber = {1745883},
     zbl = {1058.11049},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JTNB_1999__11_2_331_0/}
}
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Komatsu, Takao. On inhomogeneous diophantine approximation with some quasi-periodic expressions, II. Journal de théorie des nombres de Bordeaux, Tome 11 (1999) no. 2, pp. 331-344. http://geodesic.mathdoc.fr/item/JTNB_1999__11_2_331_0/