Uniform Distribution of Fractional Parts Related to Pseudoprimes

William D. Banks, Moubariz Z. Garaev, Florian Luca +1

We estimate exponential sums with the Fermat-like quotients $$ f_g(n) = \frac{g^{n-1} - 1}{n} \mand h_g(n)=\frac{g^{n-1}-1}{P(n)}, $$ where $g$ and $n$ are positive integers, $n$ i…