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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 523, Pages 147–158 (Mi znsl7349)  
On Gauss sums of degree $6$

N. V. Proskurin

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: The Gauss sums of degree $6$ in prime finite fields are considered. It is shown that the normalized values of these sums are located on intervals of real line, on fragments of parabolas, and on some Cramer curves within the unit circle on the complex plane.
Key words and phrases: finite fields, Gauss sums, Cramer curves.
Received: 24.10.2023
Document Type: Article
UDC: 511, 512.624
Language: Russian
Citation: N. V. Proskurin, “On Gauss sums of degree $6$”, Algebra and number theory. Part 6, Zap. Nauchn. Sem. POMI, 523, POMI, St. Petersburg, 2023, 147–158
Citation in format AMSBIB
\Bibitem{Pro23}
\by N.~V.~Proskurin
\paper On Gauss sums of degree $6$
\inbook Algebra and number theory. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 523
\pages 147--158
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7349}
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