Weyl sequences: Asymptotic distributions of the partition lengths
Anatoly Zhigljavsky; Iskander Aliev
Acta Arithmetica (1999)
- Volume: 88, Issue: 4, page 351-361
- ISSN: 0065-1036
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topAnatoly Zhigljavsky, and Iskander Aliev. "Weyl sequences: Asymptotic distributions of the partition lengths." Acta Arithmetica 88.4 (1999): 351-361. <http://eudml.org/doc/207252>.
@article{AnatolyZhigljavsky1999,
author = {Anatoly Zhigljavsky, Iskander Aliev},
journal = {Acta Arithmetica},
keywords = {Weyl sequences; asymptotic distribution; Farey sequences; dynamics of continued fractions},
language = {eng},
number = {4},
pages = {351-361},
title = {Weyl sequences: Asymptotic distributions of the partition lengths},
url = {http://eudml.org/doc/207252},
volume = {88},
year = {1999},
}
TY - JOUR
AU - Anatoly Zhigljavsky
AU - Iskander Aliev
TI - Weyl sequences: Asymptotic distributions of the partition lengths
JO - Acta Arithmetica
PY - 1999
VL - 88
IS - 4
SP - 351
EP - 361
LA - eng
KW - Weyl sequences; asymptotic distribution; Farey sequences; dynamics of continued fractions
UR - http://eudml.org/doc/207252
ER -
References
top- [1] P. P. Kargaev and A. A. Zhigljavsky, Asymptotic distribution of the distance function to the Farey points, J. Number Theory 65 (1997), 130-149. Zbl0931.11028
- [2] H. Kesten, Some probabilistic theorems on Diophantine approximations, Trans. Amer. Math. Soc. 103 (1962), 189-217. Zbl0105.03805
- [3] N. B. Slater, Gaps and steps for the sequence nθ mod 1, Proc. Cambridge Philos. Soc. 63 (1967), 1115-1123. Zbl0178.04703
- [4] V. T. Sós, On the distribution mod 1 of the sequence nα, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 1 (1958), 127-134. Zbl0094.02903
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