Geodesic
On~the uniform distribution of the sequence $\{\alpha\lambda^x\}$
Sbornik. Mathematics, Tome 27 (1975) no. 2, pp. 183-197

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $\lambda>1$ be a real transcendental number. In this paper a number $\alpha$ is constructed such that the sequence $\{\alpha\lambda^x\}_{x=1}^\infty$ is completely uniformly distributed. For real $\lambda_\nu>1$ ($\nu=1,\dots,s$) numbers $\alpha_1,\dots,\alpha_s$ are constructed such that the remainder of the uniform distribution of the sequence ($\{\alpha_1\lambda_1^x\},\dots,\{\alpha_s\lambda_s^x\}$), $x=\nobreak1,\dots,P$, is equal to $O\bigl(P^{1/2}(\ln P)^{s+1/2}\bigr)$. Bibliography: 6 titles. 
@article{SM_1975_27_2_a2,
     author = {M. B. Levin},
     title = {On~the uniform distribution of the sequence $\{\alpha\lambda^x\}$},
     journal = {Sbornik. Mathematics},
     pages = {183--197},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {1975},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1975_27_2_a2/}
}
TY  - JOUR
AU  - M. B. Levin
TI  - On~the uniform distribution of the sequence $\{\alpha\lambda^x\}$
JO  - Sbornik. Mathematics
PY  - 1975
SP  - 183
EP  - 197
VL  - 27
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1975_27_2_a2/
LA  - en
ID  - SM_1975_27_2_a2
ER  - 
%0 Journal Article
%A M. B. Levin
%T On~the uniform distribution of the sequence $\{\alpha\lambda^x\}$
%J Sbornik. Mathematics
%D 1975
%P 183-197
%V 27
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1975_27_2_a2/
%G en
%F SM_1975_27_2_a2
M. B. Levin. On~the uniform distribution of the sequence $\{\alpha\lambda^x\}$. Sbornik. Mathematics, Tome 27 (1975) no. 2, pp. 183-197. http://geodesic.mathdoc.fr/item/SM_1975_27_2_a2/