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Matematicheskie Zametki, 2008, Volume 84, Issue 3, Pages 472–474
DOI: https://doi.org/10.4213/mzm5544 (Mi mzm5544) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Brief Communications

On the Freiman Theorem in Finite Fields

S. V. Konyagin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (302 kB) Citations (8)
References:
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DOI: https://doi.org/10.4213/mzm5544
Keywords: Freiman theorem, set addition, finite field, Abelian group, Hamming metric, arithmetic progression, doubling constant.
Received: 09.01.2008
English version:
Mathematical Notes, 2008, Volume 84, Issue 3, Pages 435–438
DOI: https://doi.org/10.1134/S0001434608090137
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Konyagin, “On the Freiman Theorem in Finite Fields”, Mat. Zametki, 84:3 (2008), 472–474; Math. Notes, 84:3 (2008), 435–438
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm5544
  • https://doi.org/10.4213/mzm5544
  • https://www.mathnet.ru/eng/mzm/v84/i3/p472
    • This publication is cited in the following 8 articles:
    1. Ning Xie, Shuai Xu, Yekun Xu, “A generalization of a theorem of Rothschild and van Lint”, Theoretical Computer Science, 955 (2023), 113802  crossref
    2. Ning Xie, Shuai Xu, Yekun Xu, Lecture Notes in Computer Science, 12730, Computer Science – Theory and Applications, 2021, 460  crossref
    3. I. D. Shkredov, “Structure theorems in additive combinatorics”, Russian Math. Surveys, 70:1 (2015), 113–163  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    4. Even-Zohar Ch., Lovett Sh., “The Freiman-Ruzsa Theorem Over Finite Fields”, J. Comb. Theory Ser. A, 125 (2014), 333–341  crossref  mathscinet  zmath  isi  scopus
    5. Even-Zohar Ch., Lev V.F., “Small Asymmetric Sumsets in Elementary Abelian 2-Groups”, Discrete Math., 313:5 (2013), 689–692  crossref  mathscinet  zmath  isi  elib  scopus
    6. Sanders T., “The Structure Theory of Set Addition Revisited”, Bull. Amer. Math. Soc., 50:1 (2013), 93–127  crossref  mathscinet  zmath  isi  elib  scopus
    7. Emmanuel Breuillard, Ben Green, Terence Tao, Bolyai Society Mathematical Studies, 25, Erdős Centennial, 2013, 129  crossref
    8. Even-Zohar Ch., “On sums of generating sets in $\mathbb Z^n_2$”, Comb. Probab. Comput., 21:6 (2012), 916–941  crossref  mathscinet  zmath  isi  elib  scopus
    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:82
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