Weyl sequences: Asymptotic distributions of the partition lengths

• Autorzy: Anatoly Zhigljavsky , Iskander Aliev
• Języki publikacji: EN

Kategorie tematyczne

• 11K55: Metric theory of other algorithms and expansions; measure and Hausdorff dimension

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 88
• Numer: 4
• Strony: 351-361

Daty

wydano

1999

otrzymano

1997-11-18

poprawiono

1999-01-19

Twórcy

autor

Anatoly Zhigljavsky

• School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF2 4YH, U.K.

autor

Iskander Aliev

• Institute of Mathematics, Polish Academy of Sciences, P.O. Box 137, 00-950 Warszawa, Poland

Bibliografia

• [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.
• [2] H. Kesten, Some probabilistic theorems on Diophantine approximations, Trans. Amer. Math. Soc. 103 (1962), 189-217.
• [3] N. B. Slater, Gaps and steps for the sequence nθ mod 1, Proc. Cambridge Philos. Soc. 63 (1967), 1115-1123.
• [4] V. T. Sós, On the distribution mod 1 of the sequence nα, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 1 (1958), 127-134.