Riemann's Zeta Function by H. M. Edwards

Riemann's Zeta Function



Download Riemann's Zeta Function




Riemann's Zeta Function H. M. Edwards ebook
Publisher: Academic Press Inc
Page: 331
Format: pdf
ISBN: 0122327500, 9780122327506


So I was reading The Music of the Primes and I obviously came across the Zeta function. How do I work out a formula for Re(s)< 1, and more importantly, Re(s)<0? Apparently it tends to infinity when the argument is 1. I'm not savvy with Tex, so work with me here. And, in RH, there is an important sequence of numbers called : the moments of the Riemann zeta function. I goes like this: 1 + 1/2 + 1/3 + 1/4 + 1/5 + . With the Riemann zeta function \zeta(s) and the more general Hurwitz zeta function \zeta(s,a) ,. I understand that the zeta function for Re(s)> 1 is defined as the sum from one to infinity of 1/n^s. ]Is there some philosophy about it? \begin{aligned} &\zeta(s) = \sum_{n.