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Zapiski Nauchnykh Seminarov LOMI, 1987, Volume 162, Pages 43–76 (Mi znsl5447)  
This article is cited in 1 scientific paper (total in 1 paper)

Analytic continuation of $\zeta_3(s,k)$ in the critical strip. Arithmetical part

A. I. Vinogradov
Full-text PDF (1123 kB) Citations (1)
Abstract: In this paper we study the zeta-function
$$ \zeta_3(s,k)=\sum^\infty_{n=1}\frac{\tau_3(n)\tau_3(n+k)}{(\sqrt{n(n+k)})^s} $$
with the help of the technique of automorphic functions for $SL_3(Z)$.
Bibliographic databases:
Document Type: Article
UDC: 513.5
Language: Russian
Citation: A. I. Vinogradov, “Analytic continuation of $\zeta_3(s,k)$ in the critical strip. Arithmetical part”, Automorphic functions and number theory. Part III, Zap. Nauchn. Sem. LOMI, 162, "Nauka", Leningrad. Otdel., Leningrad, 1987, 43–76
Citation in format AMSBIB
\Bibitem{Vin87}
\by A.~I.~Vinogradov
\paper Analytic continuation of $\zeta_3(s,k)$ in the critical strip. Arithmetical part
\inbook Automorphic functions and number theory. Part~III
\serial Zap. Nauchn. Sem. LOMI
\yr 1987
\vol 162
\pages 43--76
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5447}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=912002}
\zmath{https://zbmath.org/?q=an:0643.10024}
Linking options:
  • https://www.mathnet.ru/eng/znsl5447
  • https://www.mathnet.ru/eng/znsl/v162/p43
    • 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
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