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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 6, Pages 81–94 (Mi fpm887)  

This article is cited in 5 scientific papers (total in 5 papers)

Bounds for exponential sums modulo $p^2$

Yu. V. Malykhin

M. V. Lomonosov Moscow State University
Full-text PDF (179 kB) Citations (5)
References:
Abstract: In this paper we consider exponential sums over subgroups $G\subset\mathbb Z_q^*$. Using Stepanov's method, we obtain nontrivial bounds for exponential sums in the case, where $q$ is a square of a prime number.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 146, Issue 2, Pages 5686–5696
DOI: https://doi.org/10.1007/s10958-007-0385-x
Bibliographic databases:
UDC: 511.321
Language: Russian
Citation: Yu. V. Malykhin, “Bounds for exponential sums modulo $p^2$”, Fundam. Prikl. Mat., 11:6 (2005), 81–94; J. Math. Sci., 146:2 (2007), 5686–5696
Citation in format AMSBIB
\Bibitem{Mal05}
\by Yu.~V.~Malykhin
\paper Bounds for exponential sums modulo~$p^2$
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 6
\pages 81--94
\mathnet{http://mi.mathnet.ru/fpm887}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2204426}
\zmath{https://zbmath.org/?q=an:05358119}
\elib{https://elibrary.ru/item.asp?id=9127624}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 146
\issue 2
\pages 5686--5696
\crossref{https://doi.org/10.1007/s10958-007-0385-x}
\elib{https://elibrary.ru/item.asp?id=14529018}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848924547}
Linking options:
  • https://www.mathnet.ru/eng/fpm887
  • https://www.mathnet.ru/eng/fpm/v11/i6/p81
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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    Abstract page:417
    Full-text PDF :155
    References:51
    First page:1
     
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