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Titlebook: The Power of q; A Personal Journey Michael D. Hirschhorn Book 2017 Springer International Publishing AG 2017 q-series.Ramanujan partition c

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發(fā)表于 2025-3-21 18:45:35 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱The Power of q
副標(biāo)題A Personal Journey
編輯Michael D. Hirschhorn
視頻videohttp://file.papertrans.cn/918/917459/917459.mp4
概述Aptly conveys the beauty and power of q-series.Accessible to advanced undergraduates, graduate students, and researchers.Historical notes enrich the readers understanding of the subject.First monograp
叢書名稱Developments in Mathematics
圖書封面Titlebook: The Power of q; A Personal Journey Michael D. Hirschhorn Book 2017 Springer International Publishing AG 2017 q-series.Ramanujan partition c
描述.This unique book explores the world of q, known technically as basic hypergeometric series, and represents the author’s personal and life-long study—inspired by Ramanujan—of aspects of this broad topic. While the level of mathematical sophistication is graduated, the book is designed to appeal to advanced undergraduates as well as researchers in the field. The principal aims are to demonstrate the power of the methods and the beauty of the results. The book contains novel proofs of many results in the theory of partitions and the theory of representations, as well as associated identities. Though not specifically designed as a textbook, parts of it may be presented in course work; it has many suitable exercises..After an introductory chapter, the power of q-series is demonstrated with proofs of Lagrange’s four-squares theorem and Gauss’s two-squares theorem. Attention then turns to partitions and Ramanujan’s partition congruences. Several proofs of these are given throughout the book. Many chapters are devoted to related and other associated topics. One highlight is a simple proof of an identity of Jacobi with application to string theory. On the way, we come across the Rogers–Ram
出版日期Book 2017
關(guān)鍵詞q-series; Ramanujan partition congruences; dissection Euler product; hypergeometric series; quintuple pr
版次1
doihttps://doi.org/10.1007/978-3-319-57762-3
isbn_softcover978-3-319-86241-5
isbn_ebook978-3-319-57762-3Series ISSN 1389-2177 Series E-ISSN 2197-795X
issn_series 1389-2177
copyrightSpringer International Publishing AG 2017
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Book 2017itions and Ramanujan’s partition congruences. Several proofs of these are given throughout the book. Many chapters are devoted to related and other associated topics. One highlight is a simple proof of an identity of Jacobi with application to string theory. On the way, we come across the Rogers–Ram
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1389-2177 the book. Many chapters are devoted to related and other associated topics. One highlight is a simple proof of an identity of Jacobi with application to string theory. On the way, we come across the Rogers–Ram978-3-319-86241-5978-3-319-57762-3Series ISSN 1389-2177 Series E-ISSN 2197-795X
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978-3-319-86241-5Springer International Publishing AG 2017
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https://doi.org/10.1007/978-3-319-57762-3q-series; Ramanujan partition congruences; dissection Euler product; hypergeometric series; quintuple pr
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Being Proper,nconcealed; the ontological difference and the aletheic space; the divine and the uncanny; the face as mask and idol; the order prior to order, the other of the Other; reification and the metaphysical conception of Being; the forgottenness of Being.
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