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Feb
5
awarded  Revival
Jan
30
comment Why is the Gamma function shifted from the factorial by 1?
@Stephen Montgomery-Smith. In fact the formula you wrote is wrong, corroborating my claim that $\Gamma(t)\Gamma(s)/\Gamma(t+s)$ is easier to deal with ;)
Jan
27
revised Choquet theory and Hilbert's fourth problem
added 52 characters in body
Jan
26
revised Differentiable functions with discontinuous derivatives
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Jan
26
comment Choquet theory and Hilbert's fourth problem
To complete the description of all indecomposable projective semi-distances, one should prove that they are two-values functions
Jan
26
revised Choquet theory and Hilbert's fourth problem
added 11 characters in body
Jan
26
comment Choquet theory and Hilbert's fourth problem
It seems this situation generalizes to dimension $n$, taking as $H$ the analogous union of half-spaces of decreasing dimension, each in the boundary of the previous one.
Jan
26
answered Choquet theory and Hilbert's fourth problem
Jan
25
awarded  Nice Answer
Jan
23
comment Question related to Fermat curve: Does the equation $A x^n + By^n = C z^n$ have any solution in $\mathbb{N}$?
Maybe the question is not perfectly stated, but I think it is clear that it asks about what is known about other diophantine equations $Ax^n+By^n=Cz^n$ where $A, B, C, n$ are given , and $x,y,z$ are the unknowns.
Jan
16
comment Complex proof of $B(a,b)=\Gamma(a)\Gamma(b)/\Gamma(a+b)$
ok; $ \int u*v=(\int u)(\int v)$ is indeed Fubini
Jan
16
comment Complex proof of $B(a,b)=\Gamma(a)\Gamma(b)/\Gamma(a+b)$
The way I like to of see that identity is, seeing it as a consequence of the fact that the integral of a convolution is the product of integrals, as mentioned here mathoverflow.net/questions/20960/….
Jan
10
comment Generating function for certain partitions (with a restriction on the Durfee square)
yes, a bijection between these two classes of partitions would be a nice combinatorial proof, but I can't see it...
Jan
10
comment Generating function for certain partitions (with a restriction on the Durfee square)
It seems to me that the coefficient of $x^N$ in the latter generating formula also counts the partitions of $N$ in exactly $m$ parts where the smaller lacking part is even, that is of the form $N=1+1+3+4+7\dots$ or $N=1+2+2+2+3+4+5+7\dots$.
Jan
8
revised Best Hölder exponents of surjective maps from the unit square to the unit cube
added 433 characters in body
Jan
8
awarded  Nice Question
Jan
8
revised Best Hölder exponents of surjective maps from the unit square to the unit cube
minor edit
Jan
8
comment How to prove that a monotone function is differentiable at some point?
@FedorPetrov: yes, the jumps in the graph of the monotone function at discontinuities are intended to be filled with a segment, before rotating (so the corresponding Lipschitz function will be locally linear with derivative $\pm 1$ there). btw this operation has also been considered from monotone vector valued maps to $1$-Lipschitz maps.
Jan
8
comment Best Hölder exponents of surjective maps from the unit square to the unit cube
Yes, the only theorem in that paper that deals with Hoelder maps is Thm 2.1, but has nothing or very little to see with the present problem.
Jan
7
revised Euler's constant: irrationality and proof theory
deleted 219 characters in body