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Matematicheskie Zametki, 2016, Volume 100, Issue 6, Pages 807–824
DOI: https://doi.org/10.4213/mzm11091
(Mi mzm11091)
 

This article is cited in 9 scientific papers (total in 9 papers)

On the Squares in the Set of Elements of a Finite Field with Constraints on the Coefficients of Its Basis Expansion

M. R. Gabdullinab

a Lomonosov Moscow State University
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (541 kB) Citations (9)
References:
Abstract: Recent results of S. Dartyge, C. Mauduit, and A. Sárközy concerning the problem of the number of squares among the elements of a finite field with constraints on the coefficients of its basis expansion are strengthened.
Keywords: missing digits, finite field, squares, character sum.
Funding agency Grant number
Russian Science Foundation 14-11-00702
This work was supported by the Russian Science Foundation under grant 14-11-00702.
Received: 01.06.2016
Revised: 24.07.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 2, Pages 234–249
DOI: https://doi.org/10.1134/S000143461701028X
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: M. R. Gabdullin, “On the Squares in the Set of Elements of a Finite Field with Constraints on the Coefficients of Its Basis Expansion”, Mat. Zametki, 100:6 (2016), 807–824; Math. Notes, 101:2 (2017), 234–249
Citation in format AMSBIB
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\pages 807--824
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  • https://www.mathnet.ru/eng/mzm11091
  • https://doi.org/10.4213/mzm11091
  • https://www.mathnet.ru/eng/mzm/v100/i6/p807
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    References:62
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