Timeline for Why do $12$ and $120$ occur very often in the denominators of $\zeta(-n)$ for odd $n$?
Current License: CC BY-SA 3.0
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| Feb 13, 2015 at 17:36 | history | edited | Gottfried Helms | CC BY-SA 3.0 |
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| Feb 13, 2015 at 3:27 | history | edited | Gottfried Helms | CC BY-SA 3.0 |
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| Feb 13, 2015 at 3:24 | comment | added | Gottfried Helms | @GerryMyerson: the first column contains the denominators of the zeta at 0 and then at the even nonpositive indexes, where of course the zeta is zero, and the "denominator" is normalized to be 1 (as provided by Pari/GP). I possibly should have omitted that column... | |
| Feb 13, 2015 at 3:06 | comment | added | Gerry Myerson | I'm not sure what your leftmost column of $1$s is about. In any event, von Staudt-Clausen only gives the denominator of $2k\zeta(1-2k)$; for the denominator of $\zeta(1-2k)$, you need another theorem of von Staudt, as indicated in my answer. | |
| Feb 13, 2015 at 2:57 | history | answered | Gottfried Helms | CC BY-SA 3.0 |