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On Character Sums in Finite Fields

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For polynomial character sums in finite fields, an analog of the known conjecture on the distribution of values of the Kloosterman sums is proposed.

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References

  1. J.-P. Serre, “Majorations de sommes exponentielles,” J. Arithm. de Caen, No. 41–42, 111–126 (1977).

  2. S. A. Stepanov, Arithmetic of Algebraic Curves, Moscow, Springer-Verlag (1995).

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Authors and Affiliations

  1. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia

    N. V. Proskurin

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  1. N. V. Proskurin
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Correspondence to N. V. Proskurin.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 490, 2020, pp. 104–108.

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Proskurin, N.V. On Character Sums in Finite Fields. J Math Sci 261, 571–573 (2022). https://doi.org/10.1007/s10958-022-05770-7

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  • DOI: https://doi.org/10.1007/s10958-022-05770-7

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