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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 469, Pages 151–159 (Mi znsl6604)  
This article is cited in 2 scientific papers (total in 2 papers)

Kummer's tower and big zeta-functions

A. L. Smirnov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (174 kB) Citations (2)
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Abstract: The statement of the problem to construct a big zeta function is discussed. This problem is related to an arithmetic Hurwitz formula. Two pretenders to play the role of the big zeta are suggested. Representations and ramification structures, related to Kummer's tower, are studied.
Key words and phrases: arithmetic Hurwitz formula, big zeta-function, Wieferich.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00750
Received: 01.09.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 242, Issue 4, Pages 568–574
DOI: https://doi.org/10.1007/s10958-019-04496-3
Bibliographic databases:
Document Type: Article
UDC: 511.2
Language: Russian
Citation: A. L. Smirnov, “Kummer's tower and big zeta-functions”, Algebra and number theory. Part 1, Zap. Nauchn. Sem. POMI, 469, POMI, St. Petersburg, 2018, 151–159; J. Math. Sci. (N. Y.), 242:4 (2019), 568–574
Citation in format AMSBIB
\Bibitem{Smi18}
\by A.~L.~Smirnov
\paper Kummer's tower and big zeta-functions
\inbook Algebra and number theory. Part~1
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 469
\pages 151--159
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6604}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 242
\issue 4
\pages 568--574
\crossref{https://doi.org/10.1007/s10958-019-04496-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85072101624}
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  • https://www.mathnet.ru/eng/znsl/v469/p151
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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