Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Sbornik, 1974, Volume 24, Issue 3, Pages 345–371
DOI: https://doi.org/10.1070/SM1974v024n03ABEH001916 (Mi sm3758) 		 
This article is cited in 12 scientific papers (total in 13 papers)

$p$-adic Hecke series of imaginary quadratic fields

M. M. Vishik, Yu. I. Manin
English version PDF (1315 kB) Citations (13)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1974v024n03ABEH001916
Abstract: In this paper a $p$-adic analytic function of two variables is constructed whose values in some “common” domain coincide with the values of the family of Hecke $L$-series of an imaginary quadratic field. The functional equation for such a function is obtained. The $p$-adic Mellin integral transform is the main technique.
Bibliography: 13 titles.
Received: 22.04.1974
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 95(137), Number 3(11), Pages 357–383
Bibliographic databases:
Document Type: Article
UDC: 511.4
MSC: Primary 10H10, 12B30; Secondary 10D15, 12B40, 44A15
Language: English
Original paper language: Russian
Citation: M. M. Vishik, Yu. I. Manin, “$p$-adic Hecke series of imaginary quadratic fields”, Mat. Sb. (N.S.), 95(137):3(11) (1974), 357–383; Math. USSR-Sb., 24:3 (1974), 345–371
Citation in format AMSBIB
\Bibitem{VisMan74}
\by M.~M.~Vishik, Yu.~I.~Manin
\paper $p$-adic Hecke series of imaginary quadratic fields
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 95(137)
\issue 3(11)
\pages 357--383
\mathnet{http://mi.mathnet.ru/sm3758}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=371861}
\zmath{https://zbmath.org/?q=an:0352.12013}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 24
\issue 3
\pages 345--371
\crossref{https://doi.org/10.1070/SM1974v024n03ABEH001916}
Linking options:
  • https://www.mathnet.ru/eng/sm3758
  • https://doi.org/10.1070/SM1974v024n03ABEH001916
  • https://www.mathnet.ru/eng/sm/v137/i3/p357
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:581
    Russian version PDF:206
    English version PDF:21
    References:79
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024