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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2009, Issue 8(74), Pages 5–14 (Mi vsgu275)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

On maximal set without parallelograms

E. P. Davletyarova, A. A. Zhukova, A. A. Yudin

Vladimir State Humanitarian University, Vladimir, 600024, Russia
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Abstract: We find upper and lower bounds for the cardinality of the subset in a discrete torus over the field of three elements such that no four different points of it form a nonsingular parallelogram.
Keywords: finite fields, discrete torus, trigonometric sums.
Received: 08.07.2009
Revised: 08.07.2009
Document Type: Article
UDC: 511.29
Language: Russian
Citation: E. P. Davletyarova, A. A. Zhukova, A. A. Yudin, “On maximal set without parallelograms”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 8(74), 5–14
Citation in format AMSBIB
\Bibitem{DavZhuYud09}
\by E.~P.~Davletyarova, A.~A.~Zhukova, A.~A.~Yudin
\paper On maximal set without parallelograms
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2009
\issue 8(74)
\pages 5--14
\mathnet{http://mi.mathnet.ru/vsgu275}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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