Email this article Estimates for Character Sums in Finite Fields of Order p2 and p3
- Authors: Gabdullin M.R.1,2
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Affiliations:
- Faculty of Mechanics and Mathematics
- N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences
- Issue: Vol 303, No 1 (2018)
- Pages: 36-49
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175659
- DOI: https://doi.org/10.1134/S0081543818080059
- ID: 175659
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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.
About the authors
M. R. Gabdullin
Faculty of Mechanics and Mathematics; N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences
Author for correspondence.
Email: gabdullin.mikhail@yandex.ru
Russian Federation, Moscow, 119991; ul. S. Kovalevskoi 16, Yekaterinburg, 620990
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