On the multiplicative properties modulo m of numbers with missing digits

被引：1

作者：

Moshchevitin, N. G. ^{[1
]}

Shkredov, I. D. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2007年 / 81卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

residue modulo m; number with missing digits; character sum; finite Fourier series;

D O I：

10.1134/S000143460703008X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 chi(1)center dot center dot center dot chi(t) lambda (mod m) in the numbers with missing digits and also asymptotic formulas for the number of solutions.

引用

页码：338 / 355

页数：18

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