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F. C.'s user avatar
F. C.'s user avatar
F. C.'s user avatar
F. C.
  • Member for 14 years, 1 month
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revised
Embeddings between $p$-adic linear groups?
improved formatting in title
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is this a modular form of some kind?
added a picture of the complex function F
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answered
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$q$-analogs of total positivity
added the tag q-analogs
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awarded
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Classification of fibrations $\Bbb S^k\longrightarrow\Bbb S^d\longrightarrow B$
A related reference is Ovsienko-Tabachnikov article on Hopf Fibrations and Hurwitz-Radon Numbers (ovsienko.perso.math.cnrs.fr/Publis/Hopf1.pdf).
revised
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Generating uniformly distributed trees
Search for "Boltzmann sampling" for some approximate algorithms.
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Presentation of the Rybnikov matroid
added the tag matroid-theory
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Motivic strong bellows conjecture
I have seen somewhere a conjecture about the invariance of the full spectrum of the Laplacian in this context. This would imply the known invariance of the volume.
revised
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On the determinant $\det[\sec2\pi\frac{jk}p]_{0\le j,k\le(p-1)/2}$
And for the original question, one gets $[1, 1, 1, 19, 67, 5084, 3756652, 34907699, 109337677693,\dots]$.
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On the determinant $\det[\sec2\pi\frac{jk}p]_{0\le j,k\le(p-1)/2}$
It seems that the squares of the matrices have coefficients in $\mathbb{Z}$.
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On the determinant $\det[\sec2\pi\frac{jk}p]_{0\le j,k\le(p-1)/2}$
And for the previous one, one gets $[1, 1, 2, 3, 9, 32, 95, 402, 9408, 40672, 1174257, 6844400, 41323172, 418892388, \dots]$.
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On the determinant $\det[\sec2\pi\frac{jk}p]_{0\le j,k\le(p-1)/2}$
For the last sequence, one gets $[1, 1, 0, 1, 1, 2, 1, 0, 8, 0, 37, 242, 844, 0, \dots]$.
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