| 書目名稱 | Families of Automorphic Forms | | 編輯 | Roelof W. Bruggeman | | 視頻video | http://file.papertrans.cn/341/340932/340932.mp4 | | 概述 | New material so far mostly available in articles.Includes supplementary material: | | 叢書名稱 | Modern Birkh?user Classics | | 圖書封面 |  | | 描述 | Automorphic forms on the upper half plane have been studied for a long time. Most attention has gone to the holomorphic automorphic forms, with numerous applications to number theory. Maass, [34], started a systematic study of real analytic automorphic forms. He extended Hecke’s relation between automorphic forms and Dirichlet series to real analytic automorphic forms. The names Selberg and Roelcke are connected to the spectral theory of real analytic automorphic forms, see, e. g. , [50], [51]. This culminates in the trace formula of Selberg, see, e. g. , Hejhal, [21]. Automorphicformsarefunctionsontheupperhalfplanewithaspecialtra- formation behavior under a discontinuous group of non-euclidean motions in the upper half plane. One may ask how automorphic forms change if one perturbs this group of motions. This question is discussed by, e. g. , Hejhal, [22], and Phillips and Sarnak, [46]. Hejhal also discusses the e?ect of variation of the multiplier s- tem (a function on the discontinuous group that occurs in the description of the transformation behavior of automorphic forms). In [5]–[7] I considered variation of automorphic forms for the full modular group under perturbation of t | | 出版日期 | Book 1994 | | 關(guān)鍵詞 | Analytic automorphic forms; Colin de Verdiere; Discrete cofinite subgroups; Eigenvalue; Eisenstein serie | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0346-0336-2 | | isbn_softcover | 978-3-0346-0335-5 | | isbn_ebook | 978-3-0346-0336-2Series ISSN 2197-1803 Series E-ISSN 2197-1811 | | issn_series | 2197-1803 | | copyright | Birkh?user Basel 1994 |
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