Timeline for Gap in Successive minima on lattice spanned by rational and integer combination of integer vectors
Current License: CC BY-SA 3.0
16 events
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| Sep 15, 2017 at 16:48 | history | edited | Turbo | CC BY-SA 3.0 |
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| Sep 15, 2017 at 16:40 | history | edited | Turbo | CC BY-SA 3.0 |
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| Sep 14, 2017 at 16:59 | comment | added | Turbo | @user44191 By this I mean it can be exponential in $i$ and $\log |B|$ but not exponential in $r,k,n$. | |
| Sep 14, 2017 at 16:25 | comment | added | user44191 | What, precisely, do you mean by "not strongly depend on $r, k, n$"? | |
| Sep 14, 2017 at 15:50 | history | edited | Turbo | CC BY-SA 3.0 |
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| Sep 14, 2017 at 9:37 | history | edited | Turbo | CC BY-SA 3.0 |
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| Sep 14, 2017 at 9:16 | history | edited | Turbo | CC BY-SA 3.0 |
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| Sep 14, 2017 at 6:03 | history | edited | Turbo | CC BY-SA 3.0 |
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| Sep 14, 2017 at 5:49 | history | edited | Turbo | CC BY-SA 3.0 |
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| Sep 14, 2017 at 5:44 | history | edited | Turbo | CC BY-SA 3.0 |
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| Sep 14, 2017 at 5:43 | comment | added | Noah Stephens-Davidowitz | Oh, sorry.. I misinterpreted the definition of L_Q. It might be more clear if you move the condition that uB must be an integer vector to after the colon? | |
| Sep 14, 2017 at 5:38 | history | edited | Turbo | CC BY-SA 3.0 |
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| Sep 14, 2017 at 5:37 | comment | added | Turbo | @NoahStephens-Davidowitz it cannot be smaller than $1$ in any $p\in[1,\infty]$ norm since it is an integer vector. | |
| Sep 14, 2017 at 5:29 | comment | added | Noah Stephens-Davidowitz | L_Q is dense, so it does not have any shortest vector. | |
| Sep 14, 2017 at 3:52 | history | edited | Turbo | CC BY-SA 3.0 |
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| Sep 14, 2017 at 2:56 | history | asked | Turbo | CC BY-SA 3.0 |