Timeline for If a Dirichlet series converges Conditionally, how can I apply Euler product?
Current License: CC BY-SA 3.0
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Dec 11, 2016 at 14:43 | comment | added | GH from MO | Two related MO questions that you might enjoy and benefit from: mathoverflow.net/questions/63714/… and mathoverflow.net/questions/63787/… | |
Dec 11, 2016 at 14:36 | history | edited | GH from MO |
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Dec 11, 2016 at 14:16 | comment | added | KConrad | @ChristianRemling I cleaned up the last formula so it is not written like divergent products anymore. | |
Dec 11, 2016 at 14:12 | history | edited | KConrad | CC BY-SA 3.0 |
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Dec 11, 2016 at 14:01 | comment | added | KConrad | @ChristianRemling that is more subtle for products than sums. There is not a simple version of Abel's theorem for infinite products. See Examples 3.5 and 5.13 in math.uconn.edu/~kconrad/articles/eulerprod.pdf. | |
Dec 11, 2016 at 6:50 | answer | added | Noam D. Elkies | timeline score: 7 | |
Dec 11, 2016 at 6:10 | comment | added | Christian Remling | Apply the method for $s>1$ and let $s\to 1$ should work, though this will need some justification. (I don't really like the way you wrote the final formula, it almost looks as if two infinite products were taken.) | |
Dec 11, 2016 at 6:06 | history | edited | Sigma Park | CC BY-SA 3.0 |
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Dec 11, 2016 at 5:51 | history | edited | Sigma Park | CC BY-SA 3.0 |
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Dec 11, 2016 at 5:45 | history | asked | Sigma Park | CC BY-SA 3.0 |