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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 303, Pages 45–58
DOI: https://doi.org/10.1134/S0371968518040052 (Mi tm3941) 		 
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
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DOI: https://doi.org/10.1134/S0371968518040052
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 $n=3$.
Funding agency Grant number
Russian Science Foundation 14-11-00702
This work is supported by the Russian Science Foundation under grant 14-11-00702.
Received: April 1, 2018
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 303, Pages 36–49
DOI: https://doi.org/10.1134/S0081543818080059
Bibliographic databases:
Document Type: Article
UDC: 511.33
Language: Russian
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
Citation in format AMSBIB
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\by M.~R.~Gabdullin
\paper Estimates for character sums in finite fields of order $p^2$ and $p^3$
\inbook Harmonic analysis, approximation theory, and number theory
\bookinfo Collected papers. Dedicated to Academician Sergei Vladimirovich Konyagin on the occasion of his 60th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2018
\vol 303
\pages 45--58
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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