Reputation
285
Next privilege 500 Rep.
Access review queues
Badges
1 10
Impact
~3k people reached

  • 0 posts edited
  • 0 helpful flags
  • 31 votes cast
Oct
21
asked Are there any (pairs of) simple distributions that give rise to a power law ratio?
Apr
13
accepted Asymptotics for partitions of $n$ with largest part at most $k$ (or into at most $k$ parts)
Apr
13
asked Asymptotics for partitions of $n$ with largest part at most $k$ (or into at most $k$ parts)
Mar
30
accepted What is $\prod_{k=1}^n (1-x^k)$?
Mar
30
comment What is $\prod_{k=1}^n (1-x^k)$?
I see that equation 1.30 in Stanley gives the connection with partitions. In fact the reciprocal of the product that is in the title is what actually interested me, so this is quite convenient. Thanks again!
Mar
30
comment What is $\prod_{k=1}^n (1-x^k)$?
Great, thanks. I don't have Andrews but I will see if it's in Stanley's books, which I have at home.
Mar
30
comment What is $\prod_{k=1}^n (1-x^k)$?
@Qiaochu: Assuming it's hard to evaluate in general, are there special values of $n$ for which it's easy to evaluate?
Mar
30
awarded  Commentator
Mar
30
comment What is $\prod_{k=1}^n (1-x^k)$?
If it's got a name (e.g., "the Herp-Derp polynomial"), or other stuff that will help me find context for it online.
Mar
30
asked What is $\prod_{k=1}^n (1-x^k)$?
Mar
29
comment What is the asymptotic behavior of A103213 in OEIS?
@Moron: I see that now, didn't parse the a(n) properly. My apologies.
Mar
29
comment What is the asymptotic behavior of A103213 in OEIS?
Another elegant answer!
Mar
29
comment What is the asymptotic behavior of A103213 in OEIS?
Oh, this is elegant. I'd considered Stirling but got caught up on something. But I didn't anticipate this.
Mar
29
comment What is the asymptotic behavior of A103213 in OEIS?
This is interesting, thanks.
Mar
29
comment What is the asymptotic behavior of A103213 in OEIS?
Nice, my original thought was to use Stirling but I must have made a mistake en route. Thanks.
Mar
29
accepted What is the asymptotic behavior of A103213 in OEIS?
Mar
29
comment What is the asymptotic behavior of A103213 in OEIS?
After plotting, a plausible asymptote seems to be (a constant times) $\exp(2n/3)$. But I am not confident of this.
Mar
29
asked What is the asymptotic behavior of A103213 in OEIS?
Mar
24
accepted Does the functional equation $f(1/r) = rf(r)$ have any nontrivial solutions besides $f(r) = 1/\sqrt{r}$?
Mar
24
asked Does the functional equation $f(1/r) = rf(r)$ have any nontrivial solutions besides $f(r) = 1/\sqrt{r}$?