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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Reassessing Riemann's Paper: On the Number of Primes Less Than a Given Magnitude

Reassessing Riemann's Paper: On the Number of Primes Less Than a Given Magnitude

Dittrich, Walter

Paperback

Series: Springerbriefs in History of Science and Technology

General MathematicsPhysics

ISBN10: 3030610489
ISBN13: 9783030610487
Publisher: Springer
Published: Jan 5 2021
Pages: 107
Weight: 0.39
Height: 0.25 Width: 6.14 Depth: 9.21
Language: English

In this book, the author pays tribute to Bernhard Riemann (1826-1866), a mathematician with revolutionary ideas, whose work on the theory of integration, the Fourier transform, the hypergeometric differential equation, etc. contributed immensely to mathematical physics. The text concentrates in particular on Riemann's only work on prime numbers, including ideas - new at the time - such as analytical continuation into 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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