Geodesic
On some cubic exponential sums
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 4, Tome 502 (2021), pp. 122-132
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By numerical experiments, it is discovered some unexpected strictures in distribution of cubic additive exponential sums in finite fields. Some preliminary classification and conjectures are given. 
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N. V. Proskurin. On some cubic exponential sums. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 4, Tome 502 (2021), pp. 122-132. http://geodesic.mathdoc.fr/item/ZNSL_2021_502_a3/

[1] J.-P. Serre, “Majorations de sommes exponentielles”, Asterisque, 41–42, Société Mathématique de France, 1977, 111–126

[2] S. A. Stepanov, Arifmetika algebraicheskikh krivykh, Nauka, M., 1991