A~matrix analogue of Appell's theorem and reductions of multidimensional Riemann theta-functions
Sbornik. Mathematics, Tome 61 (1988) no. 2, pp. 379-388

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The purpose of this paper is to determine a simple and efficient method of reduction of Riemann theta-functions of large genus to Riemann theta-functions of smaller genus. Figures: 1. Bibliography: 15 titles.
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     author = {A. O. Smirnov},
     title = {A~matrix analogue of {Appell's} theorem and reductions of multidimensional {Riemann} theta-functions},
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A. O. Smirnov. A~matrix analogue of Appell's theorem and reductions of multidimensional Riemann theta-functions. Sbornik. Mathematics, Tome 61 (1988) no. 2, pp. 379-388. http://geodesic.mathdoc.fr/item/SM_1988_61_2_a6/