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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 322, Pages 17–44 (Mi znsl391)  
This article is cited in 1 scientific paper (total in 1 paper)

A generalized square of the zeta function. The spectral decomposition

A. I. Vinogradov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (261 kB) Citations (1)
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Abstract: The spectral decomposition for the square of the classical Riemann zeta function $\zeta^2(s)$ is generalized to the case of the product of two such functions $\zeta(s_1)\cdot \zeta(s_2)$ of different arguments.
Received: 20.10.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 137, Issue 2, Pages 4617–4633
DOI: https://doi.org/10.1007/s10958-006-0258-8
Bibliographic databases:
UDC: 519.68
Language: Russian
Citation: A. I. Vinogradov, “A generalized square of the zeta function. The spectral decomposition”, Proceedings on number theory, Zap. Nauchn. Sem. POMI, 322, POMI, St. Petersburg, 2005, 17–44; J. Math. Sci. (N. Y.), 137:2 (2006), 4617–4633
Citation in format AMSBIB
\Bibitem{Vin05}
\by A.~I.~Vinogradov
\paper A generalized square of the zeta function. The
spectral decomposition
\inbook Proceedings on number theory
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 322
\pages 17--44
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl391}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2138449}
\zmath{https://zbmath.org/?q=an:1142.11351}
\elib{https://elibrary.ru/item.asp?id=9126045}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 137
\issue 2
\pages 4617--4633
\crossref{https://doi.org/10.1007/s10958-006-0258-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746149309}
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  • https://www.mathnet.ru/eng/znsl/v322/p17
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