On the distribution of digits in periodic fractions
Sbornik. Mathematics, Tome 18 (1972) no. 4, pp. 659-676
Cet article a éte moissonné depuis la source Math-Net.Ru
In this paper the question of the distribution of arbitrary groups of digits in a period, or part of a period, of a fraction is studied for the expansion of a rational number $\frac am$ in any base $q$ relatively prime to $m$. Bibliography: 3 titles.
@article{SM_1972_18_4_a7,
author = {N. M. Korobov},
title = {On~the distribution of digits in periodic fractions},
journal = {Sbornik. Mathematics},
pages = {659--676},
year = {1972},
volume = {18},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1972_18_4_a7/}
}
N. M. Korobov. On the distribution of digits in periodic fractions. Sbornik. Mathematics, Tome 18 (1972) no. 4, pp. 659-676. http://geodesic.mathdoc.fr/item/SM_1972_18_4_a7/
[1] N. M. Korobov, “Trigonometricheskie summy s pokazatelnymi funktsiyami i raspredelenie znakov periodicheskikh drobei”, Matem. zametki, 8:5 (1970), 641–652 | MR | Zbl
[2] N. M. Korobov, “Dvoinye trigonometricheskie summy i ikh prilozheniya k otsenke- ratsionalnykh summ”, Matem. zametki, 6:1 (1969), 25–34 | MR
[3] K. Prakhar, Raspredelenie prostykh chisel, Mir, Moskva, 1967 | MR