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This article is cited in 2 scientific papers (total in 2 papers)
On the Multiplicative Properties Modulo $m$ of Numbers with Missing Digits
N. G. Moshchevitin, I. D. Shkredov M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
We obtain upper bounds for character sums modulo a composite number over sets of numbers with missing digits in a number system. We derive results on the solvability of congruences of the form $x_1\dotsb x_t\equiv\lambda\pmod{m}$ in the numbers with missing digits and also asymptotic formulas for the number of solutions.
Keywords:
number system, number with missing digits, character sum, finite Fourier series.
Received: 14.03.2005 Revised: 20.06.2006
Citation:
N. G. Moshchevitin, I. D. Shkredov, “On the Multiplicative Properties Modulo $m$ of Numbers with Missing Digits”, Mat. Zametki, 81:3 (2007), 385–404; Math. Notes, 81:3 (2007), 338–355
Linking options:
https://www.mathnet.ru/eng/mzm3681https://doi.org/10.4213/mzm3681 https://www.mathnet.ru/eng/mzm/v81/i3/p385
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Abstract page: | 600 | Full-text PDF : | 234 | References: | 45 | First page: | 2 |
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