Mathematics – Number Theory
Scientific paper
2005-03-08
Mathematics
Number Theory
19 pages
Scientific paper
For a large integer $m,$ we obtain an asymptotic formula for the number of solutions of a certain congruence modulo $m$ with four variables, where the variables belong to special sets of residue classes modulo $m.$ This formula are applied to obtain new information on the exceptional set of the multiplication table problem in a residue ring modulo $m$ and a new bound for a double trigonometric sum with an exponential function.
Garaev Moubariz Z.
Karatsuba A. A.
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