On Gauss sums of degree $6$
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 6, Tome 523 (2023), pp. 147-158

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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.
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     author = {N. V. Proskurin},
     title = {On {Gauss} sums of degree $6$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {147--158},
     publisher = {mathdoc},
     volume = {523},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_523_a8/}
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N. V. Proskurin. On Gauss sums of degree $6$. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 6, Tome 523 (2023), pp. 147-158. http://geodesic.mathdoc.fr/item/ZNSL_2023_523_a8/