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1d
awarded  Nice Answer
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awarded  Nice Answer
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comment Which polynomial's roots are its coefficients?
@RobertIsrael Thanks, this is what I meant. It is now corrected.
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revised Which polynomial's roots are its coefficients?
corrected two typos
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answered Partitioning ${\cal P}([[1,n]])$
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answered Which polynomial's roots are its coefficients?
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awarded  Nice Answer
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revised Negative coefficient in an almost cyclotomic polynomial
fixed typo
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comment A lower bound for orthogonal partial circulant matrices
It is unknown whether there exists a circulant Hadamard matrix of order $>4$, so getting a good upper bound in general will not be easy.
Aug
29
comment Properties of Coefficients of Order Polynomials
If $P$ is an $n$-element chain then $\Omega_P(n)=\Theta(4^n/\sqrt{n})$.
Aug
28
answered Important formulas in Combinatorics
Aug
27
answered Important formulas in Combinatorics
Aug
27
comment Properties of Coefficients of Order Polynomials
I would say "various sources $\dots$ show $\dots$" rather than "suggest." I don't understand your question about $\Theta(a_nk^n)$. Are you fixing $P$ and letting $k\to\infty$? Every polynomial $f(k)$ of degree $n$ satisfies $f(k)=\Theta(k^n)$.
Aug
14
comment Most computationally efficient Littlewood-Richardson rule
For computing all the terms in the expansion of $s_\lambda s_\mu$, one method is to work with a sufficiently large but finite number of variables, express the product as a linear combination of Schur functions with unknown coefficients, write the Schur functions as bialternants (quotients of determinants), and specialize the variables to real numbers sufficiently generically to be able solve the resulting system of linear equations for the unknown coefficients. I believe that John Stembridge uses this technique for some of his SF computations.
Jul
29
comment Distributing points evenly on a sphere
For a couple of related papers, see arXiv:math.MG/0611451 and arXiv:math/0607446.
Jul
27
comment A question on permutations
@Turbo I have added some more details to my argument.
Jul
27
revised A question on permutations
more detailed argument
Jul
27
awarded  Nice Question
Jul
27
answered A question on permutations
Jul
26
revised An algebraic strengthening of the Saturation Conjecture
fixed incorrect terminology