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




I remember your talk on universal entire functions last year being very intriguing to me. The Riemann Zeta function at x=1 is the harmonic series. You will notice a sharp spike as x goes toward 1, where it shoots off to infinity. Apparently it tends to infinity when the argument is 1. I even went and found some of the original papers afterwards. Progress towards establishing the Riemann hypothesis could be viewed in terms of giving tighter limits on Re(s). If we can't yet say for sure that Re(s) = 1/2 for all s such that ζ(s) = 0, what can we say? Here is a view of the Riemann Zeta function graphed from x=1.2 to 10. I goes like this: 1 + 1/2 + 1/3 + 1/4 + 1/5 + . The generalized zeta function is defined for. So I was reading The Music of the Primes and I obviously came across the Zeta function.