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


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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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M. Gabdullin

Faculty of Mechanics and Mathematics; N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

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Email: gabdullin.mikhail@yandex.ru
俄罗斯联邦, Moscow, 119991; ul. S. Kovalevskoi 16, Yekaterinburg, 620990

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