On the number of solutions of an $n$th degree congruence with one unknown
Sbornik. Mathematics, Tome 37 (1980) no. 2, pp. 151-166

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We show that the number of solutions to the congruence $f(x)\equiv 0\pmod m$, where $f(x)$ is a polynomial of degree $n\geqslant2$ whose coefficients have greatest common divisor relatively prime to $m$, does not exceed $(n/e+O(\ln^2 n))m^{1-1/n}$, where $n/e+O(\ln^2n)$ cannot be replaced by $n/e$. Bibliography: 5 titles.
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     author = {S. V. Konyagin},
     title = {On the number of solutions of an $n$th degree congruence with one unknown},
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S. V. Konyagin. On the number of solutions of an $n$th degree congruence with one unknown. Sbornik. Mathematics, Tome 37 (1980) no. 2, pp. 151-166. http://geodesic.mathdoc.fr/item/SM_1980_37_2_a0/