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Tr. Mat. Inst. Steklova, 2018, Volume 303, Pages 45–58 (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

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.


DOI: https://doi.org/10.1134/S0371968518040052

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English version:
Proceedings of the Steklov Institute of Mathematics, 2018, 303, 36–49

Bibliographic databases:

UDC: 511.33
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, Tr. 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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\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 Tr. Mat. Inst. Steklova
\yr 2018
\vol 303
\pages 45--58
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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