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Estimates for Character Sums in Finite Fields of Order p2 and p3

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Abstract

We obtain nontrivial bounds on character sums over “boxes” of volume pn(1/4+ε) in finite fields of order pn for n = 2 and n = 3.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia

    M. R. Gabdullin

  2. 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

    M. R. Gabdullin

Authors
  1. M. R. Gabdullin
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Correspondence to M. R. Gabdullin.

Additional information

Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Vol. 303, pp. 45–58.

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Gabdullin, M.R. Estimates for Character Sums in Finite Fields of Order p2 and p3. Proc. Steklov Inst. Math. 303, 36–49 (2018). https://doi.org/10.1134/S0081543818080059

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  • DOI: https://doi.org/10.1134/S0081543818080059

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