Timeline for Naive point count underestimates the number of mod $p$ points of an elliptic curve for infinitely many primes
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jan 15, 2020 at 4:30 | comment | added | Asvin | The paragraph after Exercise 1.1.2 in the linked Calegari paper is essentially my observation. I enjoyed the paper, thanks for linking it. | |
| Jan 14, 2020 at 19:38 | comment | added | Wojowu | Thanks, I see. I admit I didn't give the linked paper a good look before replying :P | |
| Jan 14, 2020 at 19:15 | comment | added | Frob p | @Wojowu The linked discussion also discusses the problem for elliptic curves as well, and even a special CM elliptic curve. My reading of it is that there are no known approaches to the current problem other than those establishing analytic statements related to modularity, and so presumably the original problem it is still open for elliptic curves over general number fields as well. | |
| Jan 14, 2020 at 18:55 | comment | added | Wojowu | While comparing with curves of higher genus is not a bad point in itself, of course there are many things which are much easier for elliptic curves than for others (like RH for their zeta functions). I would not be surprised if this were also the case for this problem. | |
| Jan 14, 2020 at 18:50 | review | First posts | |||
| Jan 14, 2020 at 19:22 | |||||
| Jan 14, 2020 at 18:49 | history | answered | Frob p | CC BY-SA 4.0 |