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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 226, Pages 196–227 (Mi znsl3730)  
This article is cited in 3 scientific papers (total in 3 papers)

Distribution of Fourier coefficient values for modular forms of weight 1

O. M. Fomenko

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (3625 kB) Citations (3)
Abstract: For modular forms of weight 1, the distribution of values of their Fourier coefficients over polynomial sequences of natural numbers is considered. A new proof of Bernays' theorem is given. It is proved that the error term in the well-known Rankin–Selberg asymptotic formula can be improved for cusp forms associated with binary theta series. Bibl. 52 titles.
Received: 17.11.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 89, Issue 1, Pages 1050–1071
DOI: https://doi.org/10.1007/BF02358541
Bibliographic databases:
Document Type: Article
UDC: 511.466+517.863
Language: Russian
Citation: O. M. Fomenko, “Distribution of Fourier coefficient values for modular forms of weight 1”, Analytical theory of numbers and theory of functions. Part 13, Zap. Nauchn. Sem. POMI, 226, POMI, St. Petersburg, 1996, 196–227; J. Math. Sci. (New York), 89:1 (1998), 1050–1071
Citation in format AMSBIB
\Bibitem{Fom96}
\by O.~M.~Fomenko
\paper Distribution of Fourier coefficient values for modular forms of weight~1
\inbook Analytical theory of numbers and theory of functions. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 226
\pages 196--227
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3730}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1433357}
\zmath{https://zbmath.org/?q=an:0899.11019|0896.11016}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 89
\issue 1
\pages 1050--1071
\crossref{https://doi.org/10.1007/BF02358541}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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