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Matematicheskie Zametki, 2010, Volume 88, Issue 4, Pages 529–542
DOI: https://doi.org/10.4213/mzm8852 (Mi mzm8852) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Estimates of Character Sums in Finite Fields

S. V. Konyagin

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (508 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm8852
Abstract: We prove analogs of the Burgess estimates for character sums over $n$-dimensional segments in the field $\mathbb F_{p^n}$.
Keywords: multiplicative character, character sum, Burgess estimate, finite field, polar lattice, Weil estimate, Hölder's inequality.
Received: 18.08.2009
Revised: 21.10.2009
English version:
Mathematical Notes, 2010, Volume 88, Issue 4, Pages 503–515
DOI: https://doi.org/10.1134/S0001434610090221
Bibliographic databases:
Document Type: Article
UDC: 511.321
Language: Russian
Citation: S. V. Konyagin, “Estimates of Character Sums in Finite Fields”, Mat. Zametki, 88:4 (2010), 529–542; Math. Notes, 88:4 (2010), 503–515
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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