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Estimates for character sums in finite fields of order $p^2$ and $p^3$
M. R. Gabdullinab a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
b N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990 Russia
Abstract:
We obtain nontrivial bounds on character sums over “boxes” of volume $p^{n(1/4+\varepsilon)}$ in finite fields of order $p^n$ for $n=2$ and $n=3$.
Received: April 1, 2018
Citation:
M. R. Gabdullin, “Estimates for character sums in finite fields of order $p^2$ and $p^3$”, Harmonic analysis, approximation theory, and number theory, Collected papers. Dedicated to Academician Sergei Vladimirovich Konyagin on the occasion of his 60th birthday, Trudy Mat. Inst. Steklova, 303, MAIK Nauka/Interperiodica, Moscow, 2018, 45–58; Proc. Steklov Inst. Math., 303 (2018), 36–49
Linking options:
https://www.mathnet.ru/eng/tm3941https://doi.org/10.1134/S0371968518040052 https://www.mathnet.ru/eng/tm/v303/p45
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Abstract page: | 238 | Full-text PDF : | 27 | References: | 24 | First page: | 12 |
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