Timeline for The number of quadratic forms attaining Hermite's constant
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 23, 2022 at 16:23 | comment | added | Simon Pohmann | That is a very interesting question. I do not know about any proven lower bound, but would dare the guess that the number is, in fact, $\exp(\Theta(n^2\log(n)))$ (there is some experimental and theoretical reason to believe that). | |
| Mar 23, 2022 at 6:30 | comment | added | Josiah Park | That's an upper bound asymptotically, or is there a matching lower bound? | |
| Oct 9, 2021 at 8:50 | comment | added | Simon Pohmann | An asymptotic bound of $\exp(O(n^2\log n))$ as well as an explicit bound on the number of perfect quadratic forms in dimension $n$ has been shown in Wessel PJ van Woerden. “Perfect Quadratic forms: an Upper Bound and Challenges in Enumeration”. Diss. Master’s thesis, Leiden University, 2018 | |
| Sep 17, 2019 at 17:53 | vote | accept | Calamardo | ||
| Sep 17, 2019 at 15:48 | history | edited | Josiah Park | CC BY-SA 4.0 |
added 3 characters in body
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| Sep 17, 2019 at 15:39 | history | answered | Josiah Park | CC BY-SA 4.0 |