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Zapiski Nauchnykh Seminarov LOMI, 1978, Volume 76, Pages 89–123 (Mi znsl1935)  
Zeros on the critical line of Dirichlet series associated with Hilbert modular forms

V. G. Zhuravlev
Full-text PDF (1240 kB)
Abstract: The relation is studied between the behavior of Hilbert modular forms in a neighborhood of some manifold and the zeros on the critical line of the associated Dirichlet series. The results are applied to Eisenstein series associated with quadratic forms over real quadratic fields.
English version:
Journal of Soviet Mathematics, 1982, Volume 18, Issue 3, Pages 350–373
DOI: https://doi.org/10.1007/BF01084847
Bibliographic databases:
UDC: 511, 517.522.6, 519.45
Language: Russian
Citation: V. G. Zhuravlev, “Zeros on the critical line of Dirichlet series associated with Hilbert modular forms”, Analytical theory of numbers and theory of functions, Zap. Nauchn. Sem. LOMI, 76, "Nauka", Leningrad. Otdel., Leningrad, 1978, 89–123; J. Soviet Math., 18:3 (1982), 350–373
Citation in format AMSBIB
\Bibitem{Zhu78}
\by V.~G.~Zhuravlev
\paper Zeros on the critical line of Dirichlet series associated with Hilbert modular forms
\inbook Analytical theory of numbers and theory of functions
\serial Zap. Nauchn. Sem. LOMI
\yr 1978
\vol 76
\pages 89--123
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1935}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=527792}
\zmath{https://zbmath.org/?q=an:0476.10026|0419.10028}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 18
\issue 3
\pages 350--373
\crossref{https://doi.org/10.1007/BF01084847}
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