Riemann's Zeta Function book
Par collins marguerite le vendredi, juin 10 2016, 07:13 - Lien permanent
Riemann's Zeta Function by H. M. Edwards, Mickey Edwards
Riemann's Zeta Function H. M. Edwards, Mickey Edwards ebook
Page: 330
ISBN: 9780486417400
Publisher: Dover Publications
Format: pdf
I asked my nerd friend what pi-related thing I should make into a pie form. Indeed the book is not new and neither the best on the subject. An Interesting Sum Involving Riemann's Zeta Function. The book under review is a monograph devoted to a systematic exposition of the theory of the Riemann zeta-function \zeta(s) . The answer I got: You should use the Riemann zeta function with power 2. \displaystyle \sum_{m=2}^{\infty}\frac. �Although the Riemann zeta-function is an analytic function with [a] deceptively simple definition, it keeps bouncing around almost randomly without settling down to some regular asymptotic pattern. In other words, the study of analytic properties of Riemann's {\zeta} -function has interesting consequences for certain counting problems in Number Theory. Leonhard Euler used the Bernoulli numbers to generalize his solution to the Basel Problem. The proof reduces the Riemann Hypothesis to a claim about the absolute convergence of an integral that is related to the Riemann \(\zeta\)-function in a simple way. Point of post: In this post we shoe precisely we compute the radius of convergence of the the power series. This is the problem that put Euler on the map mathematically.
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