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Highlighting the revolutionary contributions of Bernhard Riemann, this book delves into his groundbreaking work on prime numbers, including innovative concepts like analytical continuation and the product formula for entire functions. It provides a thorough analysis of the Riemann zeta-function's zeros and emphasizes the significance of Riemann's ideas in regularizing infinite values within field theory. Through this exploration, the text pays homage to Riemann's lasting influence on mathematical physics and the evolution of mathematical thought.
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Reassessing Riemann's Paper, Walter Dittrich
- Language
- Released
- 2021
- product-detail.submit-box.info.binding
- (Paperback)
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- Title
- Reassessing Riemann's Paper
- Subtitle
- On the Number of Primes Less Than a Given Magnitude
- Language
- English
- Authors
- Walter Dittrich
- Publisher
- Springer International Publishing
- Released
- 2021
- Format
- Paperback
- Pages
- 120
- ISBN13
- 9783030610487
- Category
- Mathematics, Nature in general
- Description
- Highlighting the revolutionary contributions of Bernhard Riemann, this book delves into his groundbreaking work on prime numbers, including innovative concepts like analytical continuation and the product formula for entire functions. It provides a thorough analysis of the Riemann zeta-function's zeros and emphasizes the significance of Riemann's ideas in regularizing infinite values within field theory. Through this exploration, the text pays homage to Riemann's lasting influence on mathematical physics and the evolution of mathematical thought.