Timeline for Density of integral points on affine cubic surfaces of a certain type
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 5, 2020 at 13:10 | comment | added | Stanley Yao Xiao | I would like as general a statement as possible; if that's too much to ask then just understanding the case $Q = x^2 + y^2 + z^2 - xyz$ would be great since that will likely help me get a "feeling" for this type of phenomenon. | |
| Jul 5, 2020 at 12:41 | comment | added | Noam D. Elkies | You're welcome. For $Q=k$, do you mean thie for the specific case of $Q = x^2+y^2+z^2-xyz$, or any $Q$ satisfying the conditions of your question? | |
| Jul 5, 2020 at 12:17 | comment | added | Stanley Yao Xiao | Thank you for your answer. Are there ways to detect when there are "many" fundamental solutions to $Q = k$? Baragar and Umeda gave some examples, but I don't see how to think about this in the general case. | |
| Jul 5, 2020 at 12:14 | vote | accept | Stanley Yao Xiao | ||
| Jul 5, 2020 at 4:15 | history | answered | Noam D. Elkies | CC BY-SA 4.0 |