Geodesic
On the Multiplicative Properties Modulo~$m$ of Numbers with Missing Digits
Matematičeskie zametki, Tome 81 (2007) no. 3, pp. 385-404.

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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. 
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N. G. Moshchevitin; I. D. Shkredov. On the Multiplicative Properties Modulo~$m$ of Numbers with Missing Digits. Matematičeskie zametki, Tome 81 (2007) no. 3, pp. 385-404. http://geodesic.mathdoc.fr/item/MZM_2007_81_3_a7/

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