Geodesic
On the number of solutions of an $n$th degree congruence with one unknown
Sbornik. Mathematics, Tome 37 (1980) no. 2, pp. 151-166 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     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/

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[2] E. Kamke, “Zur Arithmetik der Polynome”, Math. Z., XIX (1924), 247–264 | DOI | MR

[3] V. I. Nechaev, “Otsenka polnoi ratsionalnoi trigonometricheskoi summy”, Matem. zametki, 17:6 (1975), 839–849 | MR | Zbl

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[5] V. N. Chubarikov, Kratnye trigonometricheskie summy, Kandidatskaya dissertatsiya, Moskva, 1977