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Titlebook: On the Theory of Maass Wave Forms; Tobias Mühlenbruch,Wissam Raji Textbook 2020 Springer Nature Switzerland AG 2020 Modular forms.Maass wa

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書目名稱On the Theory of Maass Wave Forms
編輯Tobias Mühlenbruch,Wissam Raji
視頻videohttp://file.papertrans.cn/702/701293/701293.mp4
概述Provides a rigorous analytical treatment of the theory of Maass wave forms.Presents a self-contained exploration of the topic, from a brief review of introductory concepts through to cutting edge rese
叢書名稱Universitext
圖書封面Titlebook: On the Theory of Maass Wave Forms;  Tobias Mühlenbruch,Wissam Raji Textbook 2020 Springer Nature Switzerland AG 2020 Modular forms.Maass wa
描述This textbook provides a rigorous analytical treatment of the theory of Maass wave forms. Readers will find this unified presentation invaluable, as it treats Maass wave forms as the central area of interest. Subjects at the cutting edge of research are explored in depth, such as Maass wave forms of real weight and the cohomology attached to Maass wave forms and transfer operators. Because Maass wave forms are given a deep exploration, this book offers an indispensable resource for those entering the field..Early chapters present a brief introduction to the theory of classical modular forms, with an emphasis on objects and results necessary to fully understand later material. Chapters 4 and 5 contain the book’s main focus: .L.-functions and period functions associated with families of Maass wave forms. Other topics include Maass wave forms of real weight, Maass cusp forms, and weak harmonic Maass wave forms. Engaging exercises appear throughout the book, with solutions available online..On the Theory of Maass Wave Forms. is ideal for graduate students and researchers entering the area. Readers in mathematical physics and other related disciplines will find this a useful reference a
出版日期Textbook 2020
關(guān)鍵詞Modular forms; Maass wave forms; Eichler integrals; Eichler-Shimura isomorphism; L-series; Period problem
版次1
doihttps://doi.org/10.1007/978-3-030-40475-8
isbn_softcover978-3-030-40477-2
isbn_ebook978-3-030-40475-8Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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0172-5939 review of introductory concepts through to cutting edge reseThis textbook provides a rigorous analytical treatment of the theory of Maass wave forms. Readers will find this unified presentation invaluable, as it treats Maass wave forms as the central area of interest. Subjects at the cutting edge of
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Period Polynomials, isomorphism theorem. We continue by describing the action of Hecke operators on period polynomials, following an approach by Choie and Zagier. We omit some of the proofs due to the abundance of references in the literature or, in many cases, because we prove their analogues in the Maass forms case.
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Textbook 2020t treats Maass wave forms as the central area of interest. Subjects at the cutting edge of research are explored in depth, such as Maass wave forms of real weight and the cohomology attached to Maass wave forms and transfer operators. Because Maass wave forms are given a deep exploration, this book
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