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Mat. Zametki, 2006, Volume 80, Issue 5, Pages 793–796 (Mi mz3092)  

This article is cited in 6 scientific papers (total in 6 papers)

Brief Communications

Estimates of trigonometric sums modulo $p^r$

Yu. V. Malykhin

M. V. Lomonosov Moscow State University

DOI: https://doi.org/10.4213/mzm3092

Full text: PDF file (299 kB)
References: PDF file   HTML file

English version:
Mathematical Notes, 2006, 80:5, 748–752

Bibliographic databases:

Received: 29.12.2005

Citation: Yu. V. Malykhin, “Estimates of trigonometric sums modulo $p^r$”, Mat. Zametki, 80:5 (2006), 793–796; Math. Notes, 80:5 (2006), 748–752

Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm3092
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Bourgain J., Ford K., Konyagin S.V., Shparlinski I.E., “On the divisibility of Fermat quotients”, Michigan Math. J., 59:2 (2010), 313–328  crossref  mathscinet  zmath  isi  elib  scopus
    2. Yu. N. Shteinikov, “Estimates of Trigonometric Sums over Subgroups and Some of Their Applications”, Math. Notes, 98:4 (2015), 667–684  mathnet  crossref  crossref  mathscinet  isi  elib
    3. De Silva D.P., “Estimation of the Quantity M-N := Min(Apn-1(Mod P(N))Vertical Bar 2 <= a <= P - 1)”, Adv. Appl. Math. Sci., 14:6 (2015), 145–154  isi
    4. Yu. N. Shteinikov, “O raspredelenii elementov polugrupp naturalnykh chisel II”, Chebyshevskii sb., 17:3 (2016), 197–203  mathnet  elib
    5. I. V. Vyugin, E. V. Solodkova, I. D. Shkredov, “On the Additive Energy of the Heilbronn Subgroup”, Math. Notes, 101:1 (2017), 58–70  mathnet  crossref  crossref  mathscinet  isi  elib
    6. Cochrane T., De Silva D., Pinner Ch., “(P-1)Th Roots of Unity Mod P(N), Generalized Heilbronn Sums, Lind-Lehmer Constants, and Fermat Quotients”, Mich. Math. J., 66:1 (2017), 203–219  crossref  mathscinet  zmath  isi  scopus
  • Математические заметки Mathematical Notes
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