bio | website | eqnets.com |
---|---|---|
location | Inside the Beltway | |
age | ||
visits | member for | 5 years, 3 months |
seen | 1 hour ago | |
stats | profile views | 9,771 |
My mathematically-oriented work generally explores discrete geometric and probabilistic themes in physics, computation, and communication. Jack of most trades, master of none.
I can be reached at s.huntsman.1#alumni#nyu#edu (make the obvious substitutions for #).
Jan 26 |
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What are the products $\prod_{A\subset{\mathbb F}_p\colon |A|=n} \sum_{a\in A} \zeta^a$ equal to?
My quick and dirty MATLAB code was "z = exp(2*pi*i/p); A = nchoosek(1:p,n); S = sum(z.^A,2); P = prod(S);" and this was supplemented by OEIS. Of course a symbolic approach is really better here... |
Jan 23 |
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What are the products $\prod_{A\subset{\mathbb F}_p\colon |A|=n} \sum_{a\in A} \zeta^a$ equal to?
@Seva, oh, you're right. The $11^{10}$ example would be in conflict, but I didn't restrict $p$ to be prime or even a prime power. This took me only five lines of MATLAB that could fit here, but it will have to wait until I remember to post it from a computer elsewhere. |
Jan 23 |
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What are the products $\prod_{A\subset{\mathbb F}_p\colon |A|=n} \sum_{a\in A} \zeta^a$ equal to?
Up to sign, they appear to be powers of primes, at least for p, n small. I notice $2^7$, $3^8$, $11^{10}$, and $19^9$ cropping up. In particular, $\mathcal{P}_p(n)$ appears to be zero or of the form $\pm q^p$ for $q$ apparently prime (or unity). |
Jan 12 |
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Uniqueness in martingale representation theorem
Smack my head... |
Jan 12 |
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Uniqueness in martingale representation theorem
Doesn't $Y = 1$ work? |
Jan 7 |
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Schrodinger equation with magnetic vector potential
Do you mean operator splitting? |
Jan 6 |
awarded | Nice Answer |
Dec 20 |
awarded | Enlightened |
Dec 20 |
awarded | Nice Answer |
Dec 19 |
answered | Diagonalization of the matrix $(1/(i+j+\rm{const}))_{i,j}$ |
Dec 13 |
answered | Time estimate to determine if a number is prime |
Dec 13 |
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Moments of random special unitary matrices
Such integrals crop up in lattice gauge theory, for which see, e.g. Creutz's book. |
Nov 28 |
accepted | What is the best way to peel fruit? |
Nov 28 |
awarded | Good Question |
Nov 26 |
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Equitably distributed curve on a sphere
Also, this appears to be in a similar (though also clearly distinct) vein to mathoverflow.net/questions/26212 |
Nov 26 |
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Equitably distributed curve on a sphere
Why must you have a great circle if $L = 2 \pi$? |
Nov 25 |
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Worst-Case Solution to (Stochastic) Matrix Inequality
It might help to reformulate your desired conclusion in terms of a mixing time. |
Nov 22 |
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What is the computational complexity to compute the integral numerically?
dx.doi.org/10.1007/s00211-009-0284-9 |
Nov 22 |
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What is the computational complexity to compute the integral numerically?
arxiv.org/abs/0809.2083 |
Nov 14 |
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Determinant of matrix from set {-1, 1}
The original version of the question could be answered with two words: Hadamard matrix. |