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visits member for 2 years, 10 months
seen Jun 8 '13 at 5:00
PhD Candidate at University of Campinas

Sep
24
awarded  Autobiographer
Mar
4
comment Primitive orthogonal vectors/Unimodular matrices
Yes, this will do it. Is there any reference where you found this example? Based on this, I can find other ones by guesswork, but it would be nice to find a systematic way.
Mar
1
asked Primitive orthogonal vectors/Unimodular matrices
Oct
14
comment hypergeometric function $_2F_1(-n;-r;1;2)$
What do you mean comparable? $r=O(n)$ ? Also it is not clear for me how the $i=n+r−\sqrt{n^2+r^2}$ comes out...
Oct
11
awarded  Supporter
Oct
11
comment hypergeometric function $_2F_1(-n;-r;1;2)$
Thank you Noam. The mistake was corrected. Gerald, the approximation $2^r n^r/r!$ (volume of ball in the $l_1$ norm) is good for fixed $r$ and (very) large $n$. However, when $r$ also increases (for example, if r = O(n)), what should be the behavior?
Oct
11
awarded  Editor
Oct
11
revised hypergeometric function $_2F_1(-n;-r;1;2)$
There was a mistake on the set \mbox{#} \lbrace x \in \mathbb{Z}^n : |x_1| + \cdots + |x_n| \leq r \rbrace . It now counts the number of points within the l_1 norm, indeed.
Oct
9
awarded  Student
Oct
9
asked hypergeometric function $_2F_1(-n;-r;1;2)$