Zapiski Nauchnykh Seminarov LOMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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}
Linking options:
  • https://www.mathnet.ru/eng/znsl4744
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:157
    Full-text PDF :62
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024