A property of a multiplicative random number generator
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 1, pp. 222-223
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A discrete analogue of the well-known results obtained by J. N. Franklin and I. M. Sobol' in the analysis of an asymptotic totally uniform distribution of the fractional parts of the exponential function $\{\gamma\lambda^x\}$ for almost all initial data $\gamma\in[0,1]$ is proposed.
@article{ZVMMF_1983_23_1_a28,
author = {I. E. Shparlinski},
title = {A property of a multiplicative random number generator},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {222--223},
year = {1983},
volume = {23},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a28/}
}
I. E. Shparlinski. A property of a multiplicative random number generator. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 1, pp. 222-223. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a28/