On the Eisenstein Series of Hilbert Modular Groups
نویسندگان
چکیده
منابع مشابه
Computations of Eisenstein series on Fuchsian groups
We present numerical investigations of the value distribution and distribution of Fourier coefficients of the Eisenstein series E(z; s) on arithmetic and non-arithmetic Fuchsian groups. Our numerics indicate a Gaussian limit value distribution for a real-valued rotation of E(z; s) as Re s = 1/2, Im s → ∞ and also, on non-arithmetic groups, a complex Gaussian limit distribution for E(z; s) when ...
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[1] Despite contrary assertions in the literature, rewriting Eisenstein series, as opposed to more general automorphic forms, on adele groups does not use Strong Approximation. Strong Approximation does make precise the relation between general automorphic forms on adele groups and automorphic forms on SL2 and even on SLn, but rewriting these Eisenstein series does not need this comparison. Ind...
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Let Γ ≤ SL2(R) be a genus zero Fuchsian group of the first kind with ∞ as a cusp, and let E 2k be the holomorphic Eisenstein series of weight 2k on Γ that is nonvanishing at ∞ and vanishes at all the other cusps (provided that such an Eisenstein series exists). Under certain assumptions on Γ, and on a choice of a fundamental domain F , we prove that all but possibly c(Γ,F) of the non-trivial ze...
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 1985
ISSN: 0213-2230
DOI: 10.4171/rmi/13