A REMARK OF EISENSTEIN SERIES AND THETA SERIES
نویسندگان
چکیده
منابع مشابه
A Remark on Eisenstein Series
The theory of Eisenstein series is fundamental for the spectral theory of automorphic forms. It was first developed by Selberg, and was completed by Langlands ([Lan76]; see also [MW95]). There are several known proofs for the meromorphic continuation of Eisenstein series (apart from very special cases of Eisenstein series which can be expressed in terms of Tate integrals). In all these proofs i...
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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: Bulletin of the Korean Mathematical Society
سال: 2002
ISSN: 1015-8634
DOI: 10.4134/bkms.2002.39.2.299