Timeline for Positive ternary quadratic forms in the same genus that represent the same numbers
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Sep 24, 2017 at 21:38 | history | edited | Will Jagy | CC BY-SA 3.0 |
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| Sep 24, 2017 at 21:31 | history | edited | Will Jagy | CC BY-SA 3.0 |
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| Jan 26, 2014 at 20:05 | answer | added | Will Jagy | timeline score: 2 | |
| Dec 29, 2013 at 1:37 | comment | added | Will Jagy | AHA! for some infinite families of pairs of forms, it is necessary to check up to, at least, something along the lines of $\Delta/12.$ So, i am just keeping the first test as it was, and then testing up to $100 + \Delta$ before having the computer record the pair. Also started a file of "false positives," pairs that agree up to the lower bound but not the higher. Onward and upward. | |
| Dec 28, 2013 at 22:53 | comment | added | Will Jagy | Bit of a relief to get a false positive overnight. Both discriminant $\Delta = 6804,$ not actually the same genus, one classically integral and the other not, and agreement up to my bound, $$ 32 \lfloor \sqrt[3] \Delta \rfloor, $$ partly because one form really does dominate the other, an observation by Kap in "Three Theorems" unpublished. This confirms that the software does recognize when two forms agree up to my bound. I was getting worried. | |
| Dec 27, 2013 at 19:29 | history | edited | Will Jagy | CC BY-SA 3.0 |
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| Dec 27, 2013 at 19:15 | history | edited | Will Jagy | CC BY-SA 3.0 |
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| Dec 27, 2013 at 18:48 | history | edited | Will Jagy | CC BY-SA 3.0 |
two genera summary
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| Dec 27, 2013 at 7:17 | history | edited | Will Jagy | CC BY-SA 3.0 |
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| Dec 27, 2013 at 7:08 | history | asked | Will Jagy | CC BY-SA 3.0 |