Timeline for Upper bounds for lattice points in orbits, and representations of binary quadratic forms
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 8, 2019 at 13:46 | comment | added | Simon L Rydin Myerson | As explained in my update to the original post, I have accepted this as it gives a nontrivial but viable-looking strategy to answer the question. | |
| Dec 8, 2019 at 13:31 | vote | accept | Simon L Rydin Myerson | ||
| Dec 6, 2019 at 17:18 | comment | added | emiliocba | Yes, in principle this method should work for integers, integers of imaginary quadratic number fields, or integers associated to quaternion algebras (e.g. quaternionic integers). It may also have sense for octonionic integers (in case there exists such a thing). | |
| Dec 6, 2019 at 17:13 | comment | added | emiliocba | I added a link to my web page where my Ph.D. thesis is available. I didn't use the link of the pdf since it was created by google drive and it may change (I hate broken links in MO). | |
| Dec 6, 2019 at 17:08 | history | edited | emiliocba | CC BY-SA 4.0 |
link to my Ph.D. thesis
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| Dec 6, 2019 at 14:12 | comment | added | Simon L Rydin Myerson | One might also add that for the representation of integers by quadratic forms, there are many ways of obtaining such an asymptotic formula; the work of Heath-Brown (eudml.org/doc/153876) comes to mind. It looks like one difference in your work is that many of the intermediate steps apply to solutions in quaternionic integers, which as far as I know not true in other approaches. | |
| Dec 6, 2019 at 13:50 | comment | added | Simon L Rydin Myerson | In fact the work in your thesis on the consequences of Gorodnik and Nevo's result is almost exactly what I was hoping for when I asked this question. Indeed it is not completely explicit but it makes it clear what needs to be done. I see you have a link to your thesis on your personal web page. Would you consider adding a link to it here? I could then accept this as the answer. | |
| Dec 3, 2019 at 23:31 | history | answered | emiliocba | CC BY-SA 4.0 |