Timeline for Discrepancy with Hurwitz Zeta function
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Jul 12, 2023 at 15:27 | comment | added | stefan_chem | Digging deep into it, it looks that when x<1, "HurwitzZeta[x, y]" reduces to the analytical continuation of the HurwitzZeta holding when x >1. This seems to be the cause of the initial problem, as when x = 1/3, "HurwitzZeta[x, y]" reduces to that analytical continuation that I have not quite grasped | |
| Jul 12, 2023 at 11:39 | history | edited | Artes | CC BY-SA 4.0 |
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| Jul 12, 2023 at 5:20 | comment | added | Michael E2 |
Odd that Mma cannot handle the same sum in the form Sum[1/(1 + n)^(1/3), {n, 0, \[Infinity]}, Regularization -> "Dirichlet"]. (+1 for the answer, of course.)
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| Jul 12, 2023 at 3:09 | comment | added | Валерий Заподовников | Oh, the value was absent before that. Got it. | |
| Jul 12, 2023 at 3:00 | comment | added | Artes | That's only an unreasonable edit by JimB. Numerically it yields as you've mentioned. | |
| Jul 12, 2023 at 2:55 | comment | added | Валерий Заподовников | No problem. I was just confused what 1.082409227768647*10^18635 is. | |
| Jul 12, 2023 at 2:50 | comment | added | Artes | And what's the problem? | |
| Jul 12, 2023 at 2:48 | comment | added | Валерий Заподовников | HurwitzZeta[1/3, 1] // N just prints -0.97336. | |
| Jul 12, 2023 at 2:05 | history | edited | Artes | CC BY-SA 4.0 |
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| Jul 12, 2023 at 1:33 | history | edited | Artes | CC BY-SA 4.0 |
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| Jul 12, 2023 at 1:13 | history | answered | Artes | CC BY-SA 4.0 |