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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 6, Pages 95–122 (Mi fpm888)  

This article is cited in 2 scientific papers (total in 2 papers)

On arithmetic properties of values of theta-constants

Yu. V. Nesterenko

M. V. Lomonosov Moscow State University
Full-text PDF (252 kB) Citations (2)
References:
Abstract: This article describes results about the transcendence and algebraic independence of values of theta constants (Nullthetawerte) and direct methods for proving these results. Values of other functions related to theta constants are discussed. We also present some conjectures and open questions.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 146, Issue 2, Pages 5697–5716
DOI: https://doi.org/10.1007/s10958-007-0386-9
Bibliographic databases:
UDC: 511.36
Language: Russian
Citation: Yu. V. Nesterenko, “On arithmetic properties of values of theta-constants”, Fundam. Prikl. Mat., 11:6 (2005), 95–122; J. Math. Sci., 146:2 (2007), 5697–5716
Citation in format AMSBIB
\Bibitem{Nes05}
\by Yu.~V.~Nesterenko
\paper On arithmetic properties of values of theta-constants
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 6
\pages 95--122
\mathnet{http://mi.mathnet.ru/fpm888}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2204427}
\zmath{https://zbmath.org/?q=an:05358120}
\elib{https://elibrary.ru/item.asp?id=9127625}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 146
\issue 2
\pages 5697--5716
\crossref{https://doi.org/10.1007/s10958-007-0386-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848868394}
Linking options:
  • https://www.mathnet.ru/eng/fpm888
  • https://www.mathnet.ru/eng/fpm/v11/i6/p95
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
    Statistics & downloads:
    Abstract page:515
    Full-text PDF :208
    References:57
    First page:1
     
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