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Matematicheskie Zametki, 1976, Volume 20, Issue 1, Pages 27–34 (Mi mzm7822)  
On the zeta-functions of systems of quadratic forms

A. N. Andrianov

Leningrad Department of V. A. Steklov Institute of Mathematics, Academy of Sciences of the USSR
Full-text PDF (424 kB)
Abstract: We prove that the zeta-function of $m$ variables of a system of $m$ positive-definite quadratic forms has a meromorphic analytic continuation onto the whole $m$-dimensional complex space.
Received: 16.04.1975
English version:
Mathematical Notes, 1976, Volume 20, Issue 1, Pages 571–574
DOI: https://doi.org/10.1007/BF01152760
Bibliographic databases:
UDC: 511
Language: Russian
Citation: A. N. Andrianov, “On the zeta-functions of systems of quadratic forms”, Mat. Zametki, 20:1 (1976), 27–34; Math. Notes, 20:1 (1976), 571–574
Citation in format AMSBIB
\Bibitem{And76}
\by A.~N.~Andrianov
\paper On the zeta-functions of systems of quadratic forms
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 1
\pages 27--34
\mathnet{http://mi.mathnet.ru/mzm7822}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=422153}
\zmath{https://zbmath.org/?q=an:0339.10034}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 1
\pages 571--574
\crossref{https://doi.org/10.1007/BF01152760}
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