| 书目名称 | Reassessing Riemann‘s Paper | | 副标题 | On the Number of Pri | | 编辑 | Walter Dittrich | | 视频video | | | 概述 | Includes detailed explanation of the importance of Riemann’s zeta function.Provides explicit calculations leading to the derivation of Riemann’s relation between prime numbers and zeros of Riemann’s f | | 丛书名称 | SpringerBriefs in History of Science and Technology | | 图书封面 |  | | 描述 | In this book, the author pays tribute to Bernhard Riemann (1826–1866), mathematician with revolutionary ideas, whose work on the theory of integration, the Fourier transform, the hypergeometric differential equation, etc. contributed immensely to mathematical physics. This book concentrates in particular on Riemann’s only work on prime numbers, including such then new ideas as analytical continuation in the complex plane and the product formula for entire functions. A detailed analysis of the zeros of the Riemann zeta function is presented. The impact of Riemann’s ideas on regularizing infinite values in field theory is also emphasized.. . | | 出版日期 | Book 20181st edition | | 关键词 | Riemann‘s Paper on Prime Numbers; Zeta-function regularization; Functional equation; Fourier transform; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-91482-4 | | isbn_ebook | 978-3-319-91482-4Series ISSN 2211-4564 Series E-ISSN 2211-4572 | | issn_series | 2211-4564 | | copyright | The Author(s) 2018 |
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发表于 2025-3-21 19:30:14
