Period relations for automorphic induction and applications, I
نویسندگان
چکیده
منابع مشابه
Automorphic hyperfunctions and period functions
We write x = Re z and y = Im z for z ∈ H, and use the Whittaker function W·,·( · ), see, e.g., [12], 1.7. One can express W0,· in terms of a modified Bessel function: W0,μ(y) = √ y/πKμ(y/2). These Maass forms occur as eigenfunctions in the spectral decomposition of the Laplacian in L ( Γmod\H, dxdy y2 ) , with Γmod := PSL2(Z). The eigenvalue is s (1− s). For any given s the space of such Maass ...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2015
ISSN: 1631-073X
DOI: 10.1016/j.crma.2014.10.016