On quadric exponential sums
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Tome 517 (2022), pp. 162-175 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

By numerical experiments, some structures in distribution of quadratic additive exponential sums in finite fields were discovered.
@article{ZNSL_2022_517_a9,
     author = {N. V. Proskurin},
     title = {On quadric exponential sums},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {162--175},
     year = {2022},
     volume = {517},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a9/}
}
TY  - JOUR
AU  - N. V. Proskurin
TI  - On quadric exponential sums
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2022
SP  - 162
EP  - 175
VL  - 517
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a9/
LA  - ru
ID  - ZNSL_2022_517_a9
ER  - 
%0 Journal Article
%A N. V. Proskurin
%T On quadric exponential sums
%J Zapiski Nauchnykh Seminarov POMI
%D 2022
%P 162-175
%V 517
%U http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a9/
%G ru
%F ZNSL_2022_517_a9
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/

[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.