Timeline for Did André Weil predict that the Riemann Hypothesis would be settled by prime number theory rather than by analysis?
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| Jan 18, 2012 at 15:54 | comment | added | Jonathan Sondow | In a 1978 interview in "Pour la Science" Weil said, "Or l’hypothèse de Riemann n’est pas un point isolé des mathématiques, mais au contraire, constitue un verrou de la théorie des nombres. Pour la démontrer, il faudrait d’abord mieux connaître, et par conséquent faire progresser la théorie des nombres." This is quoted by Michèle Audin on p. 666 of her book "Correspondance entre Henri Cartan et André Weil (1928-1991)", Société mathématique de France, 2011, available at ams.org/bookstore-getitem/item=SMFDM-6 for purchase. | |
| Oct 21, 2011 at 20:46 | comment | added | Jonathan Sondow |
Geoffrey Caveney has pointed out a related statement by Brian Conrey: It is my belief that RH is a genuinely arithmetic question that likely will not succumb to methods of analysis." See the last paragraph of his article The Riemann Hypothesis'' in the March 2003 AMS Notices, available at ams.org/notices/200303/fea-conrey-web.pdf
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| Jan 9, 2011 at 22:15 | comment | added | Jonathan Sondow | Although the title of Weil's paper includes ``nombres premiers,'' the quoted reviews of his and Burnol's papers do not mention primes. So we still have no example of a quotation that explicitly links Weil to both the Riemann Hypothesis and prime numbers. | |
| Jan 2, 2011 at 9:29 | history | edited | Chandan Singh Dalawat | CC BY-SA 2.5 |
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| Jan 2, 2011 at 9:13 | history | edited | Chandan Singh Dalawat | CC BY-SA 2.5 |
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| Jan 2, 2011 at 5:08 | history | answered | Chandan Singh Dalawat | CC BY-SA 2.5 |