The lifting of elliptic modular forms to Hilbert modular forms and Petersson inner products
نویسندگان
چکیده
منابع مشابه
On Dirichlet Series and Petersson Products for Siegel Modular Forms
— We prove that the Dirichlet series of Rankin–Selberg type associated with any pair of (not necessarily cuspidal) Siegel modular forms of degree n and weight k > n/2 has meromorphic continuation to C. Moreover, we show that the Petersson product of any pair of square–integrable modular forms of weight k > n/2 may be expressed in terms of the residue at s = k of the associated Dirichlet series....
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1.2. The first result of this type is due to Eichler ([E]) who treated the case where f = f11 is the unique weight 2 newform for Γ0(11) and E is the compactified modular curve for this group. Later, in several works, Shimura showed that the Hasse-Weil zeta functions of special models (often called canonical models) of modular and quaternionic curves are, at almost all finite places v, products ...
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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 2009
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1251833212