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Matematicheskie Zametki, 2007, Volume 81, Issue 3, Pages 385–404
DOI: https://doi.org/10.4213/mzm3681 (Mi mzm3681) 		 
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
Full-text PDF (593 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm3681
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
English version:
Mathematical Notes, 2007, Volume 81, Issue 3, Pages 338–355
DOI: https://doi.org/10.1134/S000143460703008X
Bibliographic databases:
UDC: 511.33
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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