Timeline for Solutions of $\zeta(s) = 1$, $\zeta(\zeta(s)) = 1$ near a line and a circle, respectively?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 6, 2012 at 21:03 | comment | added | Barry Brent | By illusion I meant 'optical illusion'. I was asking, were my observations ruled out by theory. Circles, or curves very near circles, appear in the PDF graphics. I see above that Juan has answered me saying that the phenomenon actually is ruled out. You're right though in the sense that precision issues at 'microscopic' scales in my plots may have caused a visual illusion. Barry | |
| Jun 6, 2012 at 15:53 | comment | added | joro | Not sure what is the "illusion" you are asking about. | |
| Jun 6, 2012 at 15:36 | comment | added | joro | Haven't read the paper. Just pointed out I can't find any zero of zeta(s)=1 near your line Re(s)=54 and my results depend on the precision as explained in the answer. | |
| Jun 6, 2012 at 15:29 | comment | added | Barry Brent | This isn't exactly what I was asking. The linked paper already mentions the precision issues in the discussion of $\Re(s) \approx 222.48$. In view of the graphics included in the PDF (linked above) the geometry of the graph of zeta, not the numerical estimates, suggested the proposal. So I asked, not whether it's true, but whether it's obviously wrong. | |
| Jun 6, 2012 at 8:27 | history | edited | joro | CC BY-SA 3.0 |
Added the sum and zeta(zeta(s))=1 case
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| Jun 6, 2012 at 8:00 | history | answered | joro | CC BY-SA 3.0 |