Abstract
The author studies the imbedding of the Hecke -ring of the modular group of genus in the Hecke ring of the group given by It is proved that the Hecke polynomial of splits over , and the coefficients of the factors can be written explicitly in terms of the coefficients of the Hecke polynomial of genus and negative powers of a particular element of . The of is computed and a formula for is presented. The results that are obtained permit one to describe a large class of power series constructed from the Fourier-Jacobi coefficients by means of eigenfunctions with denominators depending only on the eigenvalues.Bibliography: 19 titles.
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