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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 236, Pages 68–72
(Mi znsl7)
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The numbers of representations of elements of $GF(p)$ as sums of $l$th degrees
S. V. Vostokova, P. M. Vinnikb a Saint-Petersburg State University
b Baltic State Technical University
Abstract:
The numbers of representations of elements of the field $GF(p)$ as sums of invertible $l$ degrees are calculated in this paper under the condition that each $l$ degree occurs in the sum less than $k$ times. The problem reduces to some calculations in cyclotomic fields. The results obtained are formulated in elementary form.
Received: 20.02.1997
Citation:
S. V. Vostokov, P. M. Vinnik, “The numbers of representations of elements of $GF(p)$ as sums of $l$th degrees”, Problems in the theory of representations of algebras and groups. Part 5, Zap. Nauchn. Sem. POMI, 236, POMI, St. Petersburg, 1997, 68–72; J. Math. Sci. (New York), 95:2 (1999), 2085–2087
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https://www.mathnet.ru/eng/znsl7 https://www.mathnet.ru/eng/znsl/v236/p68
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Abstract page: | 286 | Full-text PDF : | 74 | References: | 33 |
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