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A decomposition theorem on differential polynomials of theta functions

Published online by Cambridge University Press:  22 January 2016

Hisasi Morikawa
Hisasi Morikawa*
Affiliation:
Department of Mathematics Faculty of Science, Nagoya University, Chikusa-ku 464, Japan
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Let τ = (τij) be a symmetric complex g = g matrix with the positive definite imaginary part. A theta function of level n means an entire function f(z) in g complex variables z = (zl …, zg) satisfying the difference relations:

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 96 , December 1984 , pp. 113 - 126
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984

References

[ 1 ] Hirota, R., A direct method of finding exact solution of nonlinear evolution equations, Lecture Notes in Mathematics, No. 515, 40-68 (1976).CrossRefGoogle Scholar
[ 2 ] Morikawa, H., Some analytic and geometric applications of the invariant theoretic method, Nagoya Math. J., 80 (1980), 1–47.CrossRefGoogle Scholar
[ 3 ] Morikawa, H., On Poisson brackets of semi-invariants, Manifolds and Lie groups, 267–281, Progress in Math. Birkhänser (1981).Google Scholar