Explicitly realizing average Siegel theta series as linear combinations of Eisenstein series
نویسندگان
چکیده
منابع مشابه
Siegel Eisenstein Series of Arbitrary Level and Theta Series
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 z...
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group GC defined over Q whose connected component G 0 Q has no rational character. It is also necessary to suppose that the centralizer of a maximal Q split torus of G0C meets every component of GC. The reduction theory of Borel applies, with trivial modifications, to G; it will be convenient to assume that Γ has a fundamental set with only one cusp. Fix a minimal parabolic subgroup P 0 C defin...
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2018
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-017-9973-7