Reassessing Riemann's Paper

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    Reassessing Riemann's Paper
    On the Number of Primes Less Than a Given Magnitude
    By: Walter Dittrich
    Publisher:
    Springer
    Print ISBN: 9783319914817, 3319914812
    eText ISBN: 9783319914824, 3319914820
    Copyright year: 2018
    Format: EPUB
    Available from $ 69.99 USD
    SKU 9783319914824
    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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