Bounds for exponential sums modulo~$p^2$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 6, pp. 81-94
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In this paper we consider exponential sums over subgroups $G\subset\mathbb Z_q^*$. Using Stepanov's method, we obtain nontrivial bounds for exponential sums in the case, where $q$ is a square of a prime number.
@article{FPM_2005_11_6_a9,
author = {Yu. V. Malykhin},
title = {Bounds for exponential sums modulo~$p^2$},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {81--94},
publisher = {mathdoc},
volume = {11},
number = {6},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a9/}
}
Yu. V. Malykhin. Bounds for exponential sums modulo~$p^2$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 6, pp. 81-94. http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a9/