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10h
comment Intuition behind $\zeta(2) = \frac{\pi^2}{6}$
@WłodzimierzHolsztyński: I think this was his reply to an engineer who didn't understand the method of characteristics. Alas, it makes no sense to me either :(
10h
comment Intuition behind $\zeta(2) = \frac{\pi^2}{6}$
I feel that this proof only uses geometry in name, kind of like the "topological" proof of Euclids theorem of infinitely many primes. It's a neat proof nevertheless.
13h
revised Intuition behind $\zeta(2) = \frac{\pi^2}{6}$
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13h
answered Intuition behind $\zeta(2) = \frac{\pi^2}{6}$
16h
awarded  Yearling
16h
comment Number of maximal chains in Bruhat order
Related: mathoverflow.net/questions/31772/…
19h
comment What is the significance of the median eigenvalue?
Depending on the size of your graph, for large number of vertices you're probably seeing a semicircle distribution of eigenvalues?
1d
comment A curious Gauss-Sum type identity
Neat problem! Does this arise somewhere specific?
2d
comment A class of matrix determinants between Wronskians and Vandermondes
1.4 of your second linked paper, that is.
2d
revised A class of matrix determinants between Wronskians and Vandermondes
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2d
comment A class of matrix determinants between Wronskians and Vandermondes
Thanks for your answer! It's funny I was adding an edit as you just submitted your answer. I was hoping to clarify something. In the section under edit, my matrix $M$ becomes derivatives of $\mathcal{M}$ in my notation above. From briefly perusing the second link, it looks like I might be able to write the determinant of $M$ in a nice way using Schur polynomials? Or it looks like in 1.4, we get an exact product formula with a Vandermonde term?
2d
awarded  Nice Question
2d
revised A class of matrix determinants between Wronskians and Vandermondes
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2d
comment A class of matrix determinants between Wronskians and Vandermondes
Thanks for the pointers. I've added an edit where I think I've worked out the structure in terms of Vandermonde's. It's basically going to be in terms of a sum of derivatives of Vandermondes.
2d
revised A class of matrix determinants between Wronskians and Vandermondes
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Oct
17
awarded  Nice Question
Oct
14
comment How to evaluate the following integral related to exponential distribution
@dedekind: look up Watson's lemma.
Oct
13
comment How to evaluate the following integral related to exponential distribution
Have you tried steepest descent for asymptotics? Also are you interested in asymptotics for large $p$ or $\delta$
Oct
9
revised A class of matrix determinants between Wronskians and Vandermondes
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Oct
9
comment Equivalence of ensembles and $\sum_{N=0}^{\infty} \int_{-Bn}^{\infty} 1_{\text{{N>K or u>A}}}(u)e^{-\beta |\lambda_m|(\frac{u}{2}+n)}du $
There seem to be two distinct capital $N$'s in your statement, one for the sum, one defining it as $n/|\lambda_m|$. Also, what is the integral for $\int_{\lambda_m}dx$ actually over?