Timeline for Condition for existence of certain lattice points on polytopes
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Feb 11, 2010 at 9:25 | history | edited | Ewan Delanoy | CC BY-SA 2.5 |
deleted 2 characters in body
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| Feb 11, 2010 at 9:24 | comment | added | Ewan Delanoy | You're right, I interchanged $+$ and $\times$ : $F$ is the product of the $G_i$'s, not the sum, and $G_i$ is a sum not a product. I'll correct this in my answer. The polynomial $G_i$ is always positive, and it is equal to 0 iff all the $a_ia_j-\text{lcm}(a_i,a_j)$ are zero, iff $a_i$ is prime to all the other $a_j$'s. | |
| Feb 11, 2010 at 6:31 | comment | added | Hailong Dao | Actually, I am now confused, (iii) seems to be equivalent to $gcd(a_i,a_j)>1$ for all pair $i\neq j$? | |
| Feb 11, 2010 at 1:16 | comment | added | Hailong Dao | Dear Ewan, I am still very interested! I kind of need a formula to work without extra conditions, but your result is very nice. Thanks and +1. | |
| Feb 10, 2010 at 20:50 | history | answered | Ewan Delanoy | CC BY-SA 2.5 |