Abstract
Hecke operators on spaces of Jacobi modular forms of the unitary group of genus n are investigated. Rational power series are constructed in terms of the Fourier-Jacobi coefficients of Hermitian forms. For modular forms of genus 2 one has obtained a representation of the nonstandard zeta function of Hermitian forms in terms of Dirichlet series, constructed from the Fourier-Jacobi coefficients, and one has proved the possibility of the analytic continuation of such series into the left half-plane.
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