On a symmetric congruence and its applications
Number Theory
2007-05-23 v2
Abstract
For a large integer we obtain an asymptotic formula for the number of solutions of a certain congruence modulo with four variables, where the variables belong to special sets of residue classes modulo This formula are applied to obtain new information on the exceptional set of the multiplication table problem in a residue ring modulo and a new bound for a double trigonometric sum with an exponential function.
Cite
@article{arxiv.math/0503164,
title = {On a symmetric congruence and its applications},
author = {M. Z. Garaev and A. A. Karatsuba},
journal= {arXiv preprint arXiv:math/0503164},
year = {2007}
}
Comments
19 pages