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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 236, Pages 68–72 (Mi znsl7)  
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
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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
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 95, Issue 2, Pages 2085–2087
DOI: https://doi.org/10.1007/BF02169963
Bibliographic databases:
UDC: 512.48
Language: Russian
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
Citation in format AMSBIB
\Bibitem{VosVin97}
\by S.~V.~Vostokov, P.~M.~Vinnik
\paper The numbers of representations of elements of $GF(p)$ as sums of $l$th degrees
\inbook Problems in the theory of representations of algebras and groups. Part~5
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 236
\pages 68--72
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754445}
\zmath{https://zbmath.org/?q=an:0928.11041}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 95
\issue 2
\pages 2085--2087
\crossref{https://doi.org/10.1007/BF02169963}
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