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Zapiski Nauchnykh Seminarov LOMI, 1978, Volume 76, Pages 210–215 (Mi znsl1939)  

Siegel's formula for genus 2

O. M. Fomenko
Abstract: Let $S$ be a semi-integral, symmetric, positive-definite $m\times m$ matrix; $m\geqslant n\geqslant1$. By the Siegel fundamental formula we mean the identity between the Siegel theta series of genus $n$, associated with the genus of the matrix $S$, and the correspond ing Eisenstein-Siegel series (C. L. Siegel, Lectures on the Analytical Theory of Quadratic Forms, 3rd rev. edition, Peppmüller, Göttingen, 1963). The validity of the mentioned formula for $m/2\leqslant n+1$ is an open problem in the general case. In this paper we prove Siegel's formula for $n=2$, $m=6$.
English version:
Journal of Soviet Mathematics, 1982, Volume 18, Issue 3, Pages 435–439
DOI: https://doi.org/10.1007/BF01084851
Bibliographic databases:
UDC: 511.466, 517.863
Language: Russian
Citation: O. M. Fomenko, “Siegel's formula for genus 2”, Analytical theory of numbers and theory of functions, Zap. Nauchn. Sem. LOMI, 76, "Nauka", Leningrad. Otdel., Leningrad, 1978, 210–215; J. Soviet Math., 18:3 (1982), 435–439
Citation in format AMSBIB
\Bibitem{Fom78}
\by O.~M.~Fomenko
\paper Siegel's formula for genus~2
\inbook Analytical theory of numbers and theory of functions
\serial Zap. Nauchn. Sem. LOMI
\yr 1978
\vol 76
\pages 210--215
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1939}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=527796}
\zmath{https://zbmath.org/?q=an:0476.10021|0422.10018}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 18
\issue 3
\pages 435--439
\crossref{https://doi.org/10.1007/BF01084851}
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