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Reassessing Riemann's paper : on the number of primes less than a given magnitude

  • 作者: Dittrich, Walter, author.
  • 其他作者:
  • 其他題名:
    • SpringerBriefs in history of science and technology.
  • 出版: Cham : Springer International Publishing :Imprint: Springer
  • 叢書名: SpringerBriefs in history of science and technology,
  • 主題: Riemann hypothesis. , Mathematics. , History of Mathematical Sciences. , Number Theory. , Quantum Field Theories, String Theory.
  • ISBN: 9783319914824 (electronic bk.) 、 9783319914817 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 摘要註: 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.
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  • 系統號: 005430304 | 機讀編目格式
  • 館藏資訊

    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.

    資料來源: Google Book
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