Timeline for What proof of quadratic reciprocity is Hilbert referring to in this quote?
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
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| Jul 20, 2016 at 4:22 | comment | added | Noam D. Elkies | "Plana summation" was new to me; thanks. Google turned up this: en.wikipedia.org/wiki/Abel-Plana_formula | |
| Jan 11, 2010 at 1:33 | comment | added | Harry Gindi | If you don't register, you can't edit your posts. | |
| Jan 10, 2010 at 20:18 | comment | added | engelbrekt | @Anweshi. Thanks for telling me. I did not get an OpenID to register, because I don't have any interest in accumulating reputation (since I don't use any of the privileges that reputation yields). But now the system thinks there is a new engelbrekt each time I come back ... I hadn't thought about that. I may have to get an OpenID and register, after all. | |
| Jan 10, 2010 at 20:07 | comment | added | engelbrekt | I am talking about the original one-variable theory of elliptic functions dating to the 1820s. Cauchy's theorem was published only in 1825, and it took twenty years before elliptic function theory was recast in terms of analytic functions. The theory that Abel and Jacobi had discovered was set forth by Jacobi in a treatise (in Latin) in 1829. There is no complex analysis in this book; everything is done with manipulations of infinite series and so on. And of course you won't find any homology there; this is the first quarter of the nineteenth century, after all. | |
| Jan 10, 2010 at 19:44 | comment | added | Anweshi | @Engelbrekt. There is a discussion about you in the meta. Please see. Too many engelbrekts..... | |
| Jan 10, 2010 at 19:33 | comment | added | Anweshi | So the first proof of the Abel-Jacobi theorem is independent of Cauchy's theorem? I thought this theorem had an essential homological content, as seen from the isomorphism of an elliptic curve with its Jacobian. | |
| Jan 10, 2010 at 19:25 | history | answered | engelbrekt | CC BY-SA 2.5 |