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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 449, Pages 230–234 (Mi znsl6329)  

Zeta function of the category of finite Abelian groups

N. V. Proskurin

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
References:
Abstract: Zeta function attached to the category of finte Abelian groups is defined and studied. This zeta function is expressed in terms of the Riemann zeta function.
Key words and phrases: zeta function of the category.
Received: 26.09.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 225, Issue 6, Pages 991–993
DOI: https://doi.org/10.1007/s10958-017-3510-5
Bibliographic databases:
Document Type: Article
UDC: 511.331.1+517.537.6
Language: Russian
Citation: N. V. Proskurin, “Zeta function of the category of finite Abelian groups”, Analytical theory of numbers and theory of functions. Part 32, Zap. Nauchn. Sem. POMI, 449, POMI, St. Petersburg, 2016, 230–234; J. Math. Sci. (N. Y.), 225:6 (2017), 991–993
Citation in format AMSBIB
\Bibitem{Pro16}
\by N.~V.~Proskurin
\paper Zeta function of the category of finite Abelian groups
\inbook Analytical theory of numbers and theory of functions. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 449
\pages 230--234
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6329}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3580138}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 225
\issue 6
\pages 991--993
\crossref{https://doi.org/10.1007/s10958-017-3510-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85027356228}
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