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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 511, 512.624

Received: 24.10.2023



© Steklov Math. Inst. of RAS, 2025