Timeline for Number of real roots of an exponential polynomial
Current License: CC BY-SA 3.0
9 events
when toggle format | what | by | license | comment | |
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Jan 3, 2016 at 14:00 | vote | accept | Dongryul Kim | ||
Jan 3, 2016 at 13:44 | answer | added | Fedor Petrov | timeline score: 14 | |
Jan 3, 2016 at 12:50 | comment | added | Peter Mueller | @FedorPetrov You are right, my comment gives a weaker bound. | |
Jan 3, 2016 at 12:43 | comment | added | Fedor Petrov | @Peter it gives a twice worse upper bound in more general situation. The difference is seen already for $n=2$ (when there are indeed at most 2 roots, but direct application of Descartes rule does not prove this.) | |
Jan 3, 2016 at 12:31 | comment | added | Peter Mueller | I believe that math.stackexchange.com/questions/688606/… is an answer to a more general question. Probably also mathoverflow.net/questions/44443/… is relevant here. | |
Jan 3, 2016 at 12:30 | history | edited | Dongryul Kim | CC BY-SA 3.0 |
edited title
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Jan 3, 2016 at 12:27 | comment | added | Dongryul Kim | Yes. Actually I think one can give small perturbations to each of the $a_i$s and make all multiple roots into distinct simple roots. | |
Jan 3, 2016 at 11:52 | comment | added | joro | Do you count the multiplicity of $0$? | |
Jan 3, 2016 at 11:16 | history | asked | Dongryul Kim | CC BY-SA 3.0 |