Campello
Reputation
Next privilege 50 Rep.
Comment everywhere
 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 $_2F_1(-n;-r;1;2)$