Timeline for The Hardy Z-function and failure of the Riemann hypothesis
Current License: CC BY-SA 3.0
7 events
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| Apr 14, 2011 at 15:33 | comment | added | Marc Palm | that's correct... thanks for the clarification. | |
| Apr 14, 2011 at 15:04 | comment | added | Denis Chaperon de Lauzières | The universality is not rigorously known for all reasonable L-functions, only expected. The results which have been proved have restrictions (e.g., they prove universality only in some restricted part of the criticial strip). | |
| Apr 11, 2011 at 8:06 | comment | added | Marc Palm | Mad a msitake, the LNM of Steuding is called "Value Distribution of L functions". | |
| Apr 10, 2011 at 11:39 | history | edited | Marc Palm | CC BY-SA 3.0 |
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| Apr 10, 2011 at 10:48 | comment | added | Marc Palm | In fact, the property of being universal is generic and known to hold for all reasonable L functions, see Steudings monograph - Universality of L Functions - LNM. These results provide an intuition why the analytic behaviour in critical region can not be controlled, which I think is a pretty neat description why the Riemann hypothesis can not be attacked by current methods of analysis. | |
| Apr 10, 2011 at 10:18 | history | edited | Marc Palm | CC BY-SA 3.0 |
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| Apr 10, 2011 at 10:09 | history | answered | Marc Palm | CC BY-SA 3.0 |