[math-fun] superstring theory solves math problems?
http://www.ams.org/journals/bull/2000-37-04/S0273-0979-00-00875-2/S0273-0979... describes a remarkable conjectured formula (arising from generating functions ad series reversions) for the number of rational curves of degree d on a generic "quintic threefold." The formula gives the right answers for the first 9 cases. However, it is not even clear that the numbers it outputs, are always integers, although hundreds have been computed and always came out integer.
There are actually three sequences in the OEIS that refer to the numbers in the article that Warren mentions: A060041 and A076912, which coincide for 9 terms but probably disagree at the 10th term, and A199878, which is a published but incorrect version. Neil On Tue, Apr 17, 2012 at 3:38 PM, Warren Smith <warren.wds@gmail.com> wrote:
http://www.ams.org/journals/bull/2000-37-04/S0273-0979-00-00875-2/S0273-0979...
describes a remarkable conjectured formula (arising from generating functions ad series reversions) for the number of rational curves of degree d on a generic "quintic threefold." The formula gives the right answers for the first 9 cases. However, it is not even clear that the numbers it outputs, are always integers, although hundreds have been computed and always came out integer.
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-- Dear Friends, I will soon be retiring from AT&T. New coordinates: Neil J. A. Sloane, President, OEIS Foundation 11 South Adelaide Avenue, Highland Park, NJ 08904, USA Phone: 732 828 6098; home page: http://NeilSloane.com Email: njasloane@gmail.com
participants (2)
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Neil Sloane -
Warren Smith