Timeline for The work of E. Artin and F. K. Schmidt on (what are now called) the Weil conjectures.
Current License: CC BY-SA 2.5
3 events
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| Feb 8, 2010 at 19:40 | comment | added | Franz Lemmermeyer | For a curve of genus 1, the zeta function only depends on a_p: you only have to count the number of points modulo p and you know the whole zeta function. Artin discussed curves of degree 3 and 4 over fields ith p = 3, 5 and 7 elements in his thesis an did not verify the RH for genus 2 curves. Originally he had planned to extend his results to arbitrary finite fields, but when Hilbert belittled his efforts during a talk he gave at Goettingen, Artin dropped the subject. He intended to | |
| Feb 8, 2010 at 19:19 | comment | added | Kevin Buzzard | Thanks a lot for your additional comments Franz. In fact you've probably answered my first question with your comment (4), the details of which I've not yet understood. I think I'll look at the Roquette articles before I bug you about it though! | |
| Feb 8, 2010 at 13:28 | history | answered | Franz Lemmermeyer | CC BY-SA 2.5 |