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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 254, Pages 28–55 (Mi znsl887)  
This article is cited in 1 scientific paper (total in 1 paper)

Geodesics on the upper half-plane and distribution of quadratic irrationalities

E. P. Golubeva

St. Petersburg State University of Telecommunications
Full-text PDF (272 kB) Citations (1)
Abstract: It is proved that the well-known results by Duke and Iwaniec on the estimates of the Fourier coefficients of modular forms of half-integer weight do not allow one to obtain a distribution law for quadratic irrationalities with fixed discriminant.
Received: 03.11.1998
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 105, Issue 4, Pages 2127–2147
DOI: https://doi.org/10.1023/A:1011320906769
Bibliographic databases:
UDC: 517.863
Language: Russian
Citation: E. P. Golubeva, “Geodesics on the upper half-plane and distribution of quadratic irrationalities”, Analytical theory of numbers and theory of functions. Part 15, Zap. Nauchn. Sem. POMI, 254, POMI, St. Petersburg, 1998, 28–55; J. Math. Sci. (New York), 105:4 (2001), 2127–2147
Citation in format AMSBIB
\Bibitem{Gol98}
\by E.~P.~Golubeva
\paper Geodesics on the upper half-plane and distribution of quadratic irrationalities
\inbook Analytical theory of numbers and theory of functions. Part~15
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 254
\pages 28--55
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl887}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691395}
\zmath{https://zbmath.org/?q=an:0986.11069}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 105
\issue 4
\pages 2127--2147
\crossref{https://doi.org/10.1023/A:1011320906769}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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