Reassessing Riemann's Paper

On the Number of Primes Less Than a Given Magnitude

Nonfiction, Science & Nature, Mathematics, Number Theory, History
Cover of the book Reassessing Riemann's Paper by Walter Dittrich, Springer International Publishing
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Author: Walter Dittrich ISBN: 9783319914824
Publisher: Springer International Publishing Publication: May 26, 2018
Imprint: Springer Language: English
Author: Walter Dittrich
ISBN: 9783319914824
Publisher: Springer International Publishing
Publication: May 26, 2018
Imprint: Springer
Language: English

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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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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