Timeline for answer to The most outrageous (or ridiculous) conjectures in mathematics by Wojowu
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| Apr 13 at 12:46 | comment | added | Euro Vidal Sampaio | FWIW, If one simply wants conjectures that were deemed outrageous at least once, then the Riemann Hypothesis is an example, since none other than J. E. Littlewood thought that It is false. | |
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Mar 15, 2017 at 0:12 | comment | added | Terry Tao | @Jan-ChristophSchlage-Puchta Amusingly, there is a result of Sarnak and Zaharescu that says that it is inconsistent to simultaneously believe both of the assertions you mention: projecteuclid.org/download/pdf_1/euclid.dmj/1087575083 | |
| Jan 23, 2017 at 9:25 | comment | added | Jan-Christoph Schlage-Puchta | @Emil Jerabek: I think some people coming from Selberg zetafunctions believe that GRH holds true with the exception of possible real zeroes. I don't know whether anybody believes in a Siegel zero in the strong sense, i.e. a sequence of moduli $q_i$ and roots $\sigma_i$, where $(1-\sigma_i)\log q_i\rightarrow 0$. | |
| Jan 20, 2017 at 22:25 | comment | added | Terry Tao | Closely related, by the way, to the Siegel zero hypothesis is the Alternative hypothesis that asserts (in blatant contradiction to the GUE hypothesis) that the zeroes of L-functions are approximately arranged in arithmetic progressions: aimath.org/WWN/lrmt/articles/html/117a | |
| Jan 20, 2017 at 22:23 | comment | added | Terry Tao | I don't think anyone seriously believes that they actually exist, but they nevertheless seem to have a "ghostly" quasi-existence, in that the Siegel zero hypothesis is remarkably self-consistent and leads to very interesting conclusions about the primes etc. (which are typically rather different from what the orthodox conjectures tell us), see e.g. Friedlander's Notices article at ams.org/notices/200907/rtx090700817p.pdf | |
| Jan 18, 2017 at 15:10 | comment | added | Wojowu | @Kimball I don't know the answer to that question. | |
| Jan 18, 2017 at 15:09 | comment | added | Kimball | Does anyone believe Siegel zeros exist? | |
| Jan 18, 2017 at 14:08 | history | edited | Wojowu | CC BY-SA 3.0 |
added 6 characters in body
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| S Jan 18, 2017 at 13:58 | history | answered | Wojowu | CC BY-SA 3.0 | |
| S Jan 18, 2017 at 13:58 | history | made wiki | Post Made Community Wiki by Wojowu |