Geodesic
On quadric exponential sums
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Tome 517 (2022), pp. 162-175 
N. V. Proskurin. On quadric exponential sums. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Tome 517 (2022), pp. 162-175. http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a9/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

By numerical experiments, some structures in distribution of quadratic additive exponential sums in finite fields were discovered.

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

[2] Springer–Verlag, 1995 | MR

[3] N. V. Proskurin, “O nekotorykh kubicheskikh eksponentsialnykh summakh”, Zap. nauchn. semin. POMI, 502, 2021, 122–132

[4] N. V. Proskurin, “Ob eksponentsialnykh summakh i tsvetakh”, Zap. nauchn. semin. POMI, 502, 2021, 133–138

[5] B. C. Berndt, R. J. Evans, K. S. Williams, Gauss and Jacobi sums, Wiley-Interscience Publication, 1998 | MR

[6] C. F. Gauss, “Theoria residuorum biquadraticorum, Commentatio prima”, Comment. Soc. Reg. Sci. Gottingensis, 6 (1828), 28 pp.