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On the multiplicative properties modulo m of numbers with missing digits
被引:0
|作者:
N. G. Moshchevitin
I. D. Shkredov
机构:
[1] Moscow State University,
来源:
关键词:
residue modulo m;
number with missing digits;
character sum;
finite Fourier series;
D O I:
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学科分类号:
摘要:
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 x1 ⋯ xt ≡ λ (mod m) in the numbers with missing digits and also asymptotic formulas for the number of solutions.
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页码:338 / 355
页数:17
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