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On Some Cubic Exponential Sums

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By numerical experiments, some unexpected structures in the distribution of cubic additive exponential sums in finite fields are discovered. A preliminary classification and some conjectures are presented.

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References

  1. J.-P. Serre, “Majorations de sommes exponentielles,” Astérisque, 41–42, 111–126 (1977).

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  2. S. A. Stepanov, Arithmetic of Algebraic Curves [in Russian], Nauka, Moscow (1991).

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Authors and Affiliations

  1. St.Petersburg Department of V. A. Steklov Mathematical Institute of the Russian Academy of Sciences, 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. 502, 2021, pp. 122–132.

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Proskurin, N.V. On Some Cubic Exponential Sums. J Math Sci 264, 183–188 (2022). https://doi.org/10.1007/s10958-022-05986-7

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  • DOI: https://doi.org/10.1007/s10958-022-05986-7

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