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Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 1, Pages 1–17
DOI: https://doi.org/10.1070/IM1973v007n01ABEH001923 (Mi im2210) 		 
This article is cited in 1 scientific paper (total in 1 paper)

$\zeta$-functions of some one-dimensional rings

V. M. Galkin
English version PDF (807 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1973v007n01ABEH001923
Abstract: The notion of the zeta-function is generalized to rings which are orders in classical Dedekind rings; the structure of these functions is explained. Classes of rings are given for which the classical assertions (the Riemann hypothesis, functional equation) are applicable.
Received: 17.12.1971
Bibliographic databases:
UDC: 519.4
MSC: Primary 13F05; Secondary 13H05, 13H10
Language: English
Original paper language: Russian
Citation: V. M. Galkin, “$\zeta$-functions of some one-dimensional rings”, Math. USSR-Izv., 7:1 (1973), 1–17
Citation in format AMSBIB
\Bibitem{Gal73}
\by V.~M.~Galkin
\paper $\zeta$-functions of some one-dimensional rings
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 1
\pages 1--17
\mathnet{http://mi.mathnet.ru//eng/im2210}
\crossref{https://doi.org/10.1070/IM1973v007n01ABEH001923}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=332729}
\zmath{https://zbmath.org/?q=an:0261.12009}
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  • https://www.mathnet.ru/eng/im/v37/i1/p3
    • 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
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:259
    Russian version PDF:105
    English version PDF:19
    References:59
    First page:1
     
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