Siegel Eisenstein Series of Arbitrary Level and Theta Series
نویسنده
چکیده
Introduction. In this paper we consider Siegel modular forms of genus n and arbitrary level q, which do not vanish at all zero dimensional cusps. If such a form is an eigenform of some power T(p)m, m > 1, of the Hecke operator T(p) with respect to at least one prime p = +__1 mod q and if the weight o f f is big enough, r > n + 1, then this form is uniquely determined by the values of f at the zero dimensional cusps. This is a generalization of an observation of ELSTRODT [3], who proved this result for the full modular group. The Siegel Eisenstein series
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