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Zapiski Nauchnykh Seminarov LOMI, 1984, Volume 134, Pages 117–137 (Mi znsl4744)  

This article is cited in 1 scientific paper (total in 1 paper)

Значения рядов Дирихле, ассоциированных с модулярными формами, в точках $s=\frac12,1$

E. P. Golubeva, O. M. Fomenko
Full-text PDF (862 kB) Citations (1)
Abstract: Let $f(z)=\sum_{n=1}^\infty a(n)e^{2\pi inz}$ be a cusp form of even weight $k$ which is an eigenfunction of all Hecke operators, $\chi$ a real character $\mod d$, $L_f(s,\chi)=\sum_{n=1}^\infty\chi(n)a(n)n^{-s-\frac{k-1}2}$. It is known that $L_f(s,\chi)$ satisfies a functional equation of Riemann type under $s\to1-s$. The authors prove some asymptotic results on $L_f(\frac12, \chi)$, $L_f(1, \chi)$, $d\to\infty$.
Bibliographic databases:
Document Type: Article
UDC: 511.466
Language: Russian
Citation: E. P. Golubeva, O. M. Fomenko, “Значения рядов Дирихле, ассоциированных с модулярными формами, в точках $s=\frac12,1$”, Automorphic functions and number theory. Part II, Zap. Nauchn. Sem. LOMI, 134, "Nauka", Leningrad. Otdel., Leningrad, 1984, 117–137
Citation in format AMSBIB
\Bibitem{GolFom84}
\by E.~P.~Golubeva, O.~M.~Fomenko
\paper Значения рядов Дирихле, ассоциированных с~модулярными формами, в~точках $s=\frac12,1$
\inbook Automorphic functions and number theory. Part~II
\serial Zap. Nauchn. Sem. LOMI
\yr 1984
\vol 134
\pages 117--137
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4744}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=741856}
\zmath{https://zbmath.org/?q=an:0535.10030}
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  • https://www.mathnet.ru/eng/znsl/v134/p117
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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