Riemann's Zeta Function. H. M. Edwards

Riemann's Zeta Function


Riemann.s.Zeta.Function.pdf
ISBN: 0122327500,9780122327506 | 331 pages | 9 Mb


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Riemann's Zeta Function H. M. Edwards
Publisher: Academic Press Inc




With the Riemann zeta function \zeta(s) and the more general Hurwitz zeta function \zeta(s,a) ,. If we look at the Taylor expansion. So-defined because it puts the functional equation of the Riemann zeta function into the neat form $\xi(1-s) = \xi(s)$. The book under review is a monograph devoted to a systematic exposition of the theory of the Riemann zeta-function \zeta(s) . Sometimes I like to sharpen my mind a little (only just) with a math article or two, to see how little I remember calculus from high school and college. The Riemann Hypothesis (RH) has been around for more than 140 years. \begin{aligned} &\zeta(s) = \sum_{n. Indeed the book is not new and neither the best on the subject. Namely, articles like this one. $$\xi(s) = (s-1) \pi^{-s/2} \Gamma\left(1+\tfrac{1}{2} s\right) \zeta(s),$$.