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Titlebook: Hilbert Modular Forms; Eberhard Freitag Book 1990 Springer-Verlag Berlin Heidelberg 1990 Complex analysis.Eisenstein series.Selberg trace

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樓主
發(fā)表于 2025-3-21 18:48:17 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Hilbert Modular Forms
編輯Eberhard Freitag
視頻videohttp://file.papertrans.cn/428/427068/427068.mp4
圖書封面Titlebook: Hilbert Modular Forms;  Eberhard Freitag Book 1990 Springer-Verlag Berlin Heidelberg 1990 Complex analysis.Eisenstein series.Selberg trace
描述Important results on the Hilbert modular group and Hilbert modular forms are introduced and described in this book. In recent times, this branch of number theory has been given more and more attention and thus the need for a comprehensive presentation of these results, previously scattered in research journal papers, has become obvious. The main aim of this book is to give a description of the singular cohomology and its Hodge decomposition including explicit formulae. The author has succeeded in giving proofs which are both elementary and complete. The book contains an introduction to Hilbert modular forms, reduction theory, the trace formula and Shimizu‘s formulae, the work of Matsushima and Shimura, analytic continuation of Eisenstein series, the cohomology and its Hodge decomposition. Basic facts about algebraic numbers, integration, alternating differential forms and Hodge theory are included in convenient appendices so that the book can be used by students with a knowledge of complex analysis (one variable) and algebra.
出版日期Book 1990
關鍵詞Complex analysis; Eisenstein series; Selberg trace formula; cusp form; number theory; reduction theory
版次1
doihttps://doi.org/10.1007/978-3-662-02638-0
isbn_softcover978-3-642-08072-2
isbn_ebook978-3-662-02638-0
copyrightSpringer-Verlag Berlin Heidelberg 1990
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發(fā)表于 2025-3-21 21:27:49 | 只看該作者
enstein series, the cohomology and its Hodge decomposition. Basic facts about algebraic numbers, integration, alternating differential forms and Hodge theory are included in convenient appendices so that the book can be used by students with a knowledge of complex analysis (one variable) and algebra.978-3-642-08072-2978-3-662-02638-0
板凳
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above two parts. Besides, since translation can not be incorporated into the bilinear model directly, we introduce translation matrix as the equivalent. Theoretical analysis proves that STaR is capable of modeling all patterns and handling complex relations simultaneously, and experiments demonstrat
地板
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Eberhard Freitagcore to recognize faces in real-time. To identify whether the faces are genuine or counterfeit, we utilized Landmark68 during the anti-spoofing phase. We applied our findings and developed an application AILib during the Covid-19 outbreak, when it was challenging for people to physically visit and l
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Eberhard Freitags clustering methods as the core, the secondary classification of special users is realized. Finally, different time series forecasting models are used for the power load curve characteristics of different user categories. Our model has achieved the best results in multiple metrics (RMSE: 0.359, MSE
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發(fā)表于 2025-3-22 17:02:34 | 只看該作者
Eberhard Freitags clustering methods as the core, the secondary classification of special users is realized. Finally, different time series forecasting models are used for the power load curve characteristics of different user categories. Our model has achieved the best results in multiple metrics (RMSE: 0.359, MSE
8#
發(fā)表于 2025-3-22 22:36:54 | 只看該作者
core to recognize faces in real-time. To identify whether the faces are genuine or counterfeit, we utilized Landmark68 during the anti-spoofing phase. We applied our findings and developed an application AILib during the Covid-19 outbreak, when it was challenging for people to physically visit and l
9#
發(fā)表于 2025-3-23 03:29:29 | 只看該作者
https://doi.org/10.1007/978-3-662-02638-0Complex analysis; Eisenstein series; Selberg trace formula; cusp form; number theory; reduction theory
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