Copied Reassessing Riemann's Paper
Reassessing Riemann's Paper
In this book, the author pays tribute to Bernhard Riemann (18261866), 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 Riemanns 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 Riemanns ideas on regularizing infinite values in field theory is also emphasized.
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