bio  website  wwwirma.ustrasbg.fr/… 

location  Strasbourg  
age  37  
visits  member for  2 years, 10 months 
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I'm working on complex dynamical systems, more specifically on the local/global aspect of singular holomorphic foliations in the complex plane
1d

revised 
For what real $t$ is $\{n^t : n \geq 1\}$ linearly independent over $\mathbb{Q}$?
LaTeX 
Apr 24 
comment 
Multivariable function analysis
If you differentiate with respect to $k$ the relation $f(\alpha(k))=0$ and require $\alpha'(k)=0$, you obtain $k=\frac{\ln\frac{\ln\alpha(k)}{\ln2}+n\ln\alpha(k)}{\ln\alpha(k)\ln 2}$. Don't know if that helps, though, but it may if you have some kind of control on $\alpha$ as the largest root. 
Apr 19 
comment 
If $f$ is separately holomorphic on $\Omega$ then $f\in\mathcal{C}^0(\bar\Omega)\Leftrightarrow f\in L^1(\Omega)$
@ChristianRemling: I agree with you, yet maybe you could consider making this a short answer just for the sake of closing the question... 
Apr 19 
reviewed  Approve Eigenvalues of Matrix Sums 
Apr 19 
revised 
Zero divisors and boundary elements of $A^{1}$
added 7 characters in body; edited title 
Apr 19 
reviewed  Approve Zero divisors and boundary elements of $A^{1}$ 
Apr 15 
reviewed  Approve How does a level set look like when the minimum point of a function degenerate? 
Apr 10 
reviewed  Approve What's the “best” proof of quadratic reciprocity? 
Apr 2 
reviewed  Approve What is the best graph editor to use in your articles? 
Mar 18 
reviewed  Approve hyperbolic metrics 
Mar 17 
revised 
Are all rational exactly solvable differential equations known?
added 286 characters in body 
Mar 17 
comment 
Automorphisms of $\mathbb{C}$ and meromorphic functions
Ok, thank you for the precision. 
Mar 17 
comment 
Automorphisms of $\mathbb{C}$ and meromorphic functions
Maybe there is something I don't understand, but the $\sin$ function both defines $\mathbb Z=\{z : \sin (z)=0\}$ and $\mathbb R=\{z : \sin (z)=\overline{\sin (z)}\}$. 
Mar 17 
comment 
Are all rational exactly solvable differential equations known?
Nothing, I understood what you said. I just included the second piece because if you want to achieve effective, concrete algorithms then the issue pops up (although it also does in the first piece). But I understood your concern was at a higherlevel of calculability. That being said, I still somehow believe that a lot of undecidability lies down there ;) 
Mar 17 
answered  Are all rational exactly solvable differential equations known? 
Mar 17 
comment 
Are all rational exactly solvable differential equations known?
You must specify what you mean by both «decide» (and therefore what conditions you put on the coefficients of the differential equation, e.g. belonging to a field where you can decide the equality to $0$ with a halting turing machine) and «exactly solvable» (I assume you mean integrability by quadrature in the sense of Liouville). Even being granted the two defaulted meanings above, I fear that there are no known answer to your question, although it is believed by some that the Poincaré question (solvable by rational firstintegral) is undecidable. The keyword is differential Galois theory. 
Mar 17 
reviewed  Approve Is it true that for each bounded continuous function we can find a set of analytic functions to uniformly converge it? 
Mar 16 
comment 
the impossibility of exactly computing eigenvalues
It is sufficient to take $p$ with nonsolvable Galois group. Take your favorite nonsolvable real quintic polynomial. Now the diagonal matrix with diagonal entries the real roots of this polynomial is hermitian. This question is not research level in its present form. E.g. you should precise what you mean by "explicit formula" and on which field you work, to avoid stupid trivial answers as the one I just gave. 
Mar 15 
reviewed  Approve Motivation for concepts in Algebraic Geometry 
Mar 11 
reviewed  Approve More recently published comprehensive reference on inequalities in the spirit of HardyLittlewoodPólya 