Timeline for Infinite product experimental mathematics question.
Current License: CC BY-SA 2.5
7 events
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| Apr 21, 2010 at 21:55 | history | edited | lhf |
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| Apr 21, 2010 at 20:08 | comment | added | graveolensa | The above products come from two different streams of thinking. The first came from thinking about $\sum_{n=2}^{\infty} -\zeta'(n)$ -- taking its exponential leads to the first product. The second product came from convergence questions related to $\prod_{m=2}^{\infty} \prod_{n=1}^{\infty} \sqrt[m^{n}]{1+\frac{1}{m^{n}}}$. | |
| Apr 21, 2010 at 19:57 | answer | added | graveolensa | timeline score: 5 | |
| Apr 21, 2010 at 18:59 | comment | added | Harald Hanche-Olsen |
I cannot help wonder what causes someone to discover such things by accident. Especially if the two formulas are evaluated some considerable time apart. (For more transparent clarity, Gjergji's essential insight might have been written $\frac{1}{v-1}-\frac{1}{v}=\frac{1}{v(v-1)}$.)
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| Apr 21, 2010 at 18:38 | comment | added | Gjergji Zaimi | $\frac{1}{n-1}-\frac{1}{n}=\frac{1}{n(n-1)}$ | |
| Apr 21, 2010 at 18:31 | answer | added | Mariano Suárez-Álvarez | timeline score: 6 | |
| Apr 21, 2010 at 18:19 | history | asked | graveolensa | CC BY-SA 2.5 |