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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J.-P. Serre, “Majorations de sommes exponentielles,” Astérisque, 41–42, 111–126 (1977).
S. A. Stepanov, Arithmetic of Algebraic Curves [in Russian], Nauka, Moscow (1991).
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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