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arXiv · 1503.03196

Linear Congruences with Ratios

Igor E. Shparlinski
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Abstract

We use new bounds of double exponential sums with ratios of integers from prescribed intervals to get an asymptotic formula for the number of solutions to congruences $$ \sum_{j=1}^n a_j x_jy_j^{-1} \equiv a_0 \pmod p, $$ with variables from rather general sets.

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Igor E. Shparlinski. 2015-03-11. Linear Congruences with Ratios. https://arxiv.org/abs/1503.03196

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