5,962 reputation
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bio website mathematik.uni-wuerzburg.de/…
location Würzburg
age 48
visits member for 2 years, 6 months
seen 4 hours ago
I'm a professor of mathematics at the University of Würzburg (Germany). For further infos see my web page.

Apr
17
comment How to prove that every polynomial in an infinite family is irreducible over Q?
In view of Noam Elkies' perfect answer, I removed my answer. Also, his construction of the auxiliary polynomial is similar, but more efficient than Runge's original argument.
Apr
17
awarded  Disciplined
Apr
17
comment How to prove that every polynomial in an infinite family is irreducible over Q?
@Noam D. Elkies: I did not obtain the bound $10^{20000}$ from Runge, rather I doubted that carrying out Runge's algorithm would be that bad. Indeed, arxiv.org/abs/math/0512418 might be interesting in this regard.
Apr
11
answered Proof of the Belyi's theorem: where it is really used the hypothesis?
Apr
10
comment Integer roots of a polynomial
It still looks like an odd question. For instance $p=j=1$ and $a_1=-1/2$ is a solution, and I doubt that something clever can be said about all the possible solutions.
Apr
10
comment Symmetric form for sum of reciprocals of primes equal an integer
Two more examples are given by the sets of primes $\{2,3,7,43\}$ and $\{2, 3, 11, 23, 31, 47059\}$.
Apr
4
revised Placing numbers $1,2,\ldots,n^3$ in a cube so that numbers of any two adjacent unit subcube are coprime
Answering Carl's question from the comments about the algorithm.
Apr
4
answered Placing numbers $1,2,\ldots,n^3$ in a cube so that numbers of any two adjacent unit subcube are coprime
Mar
27
answered On a conjecture related to the classification of finite simple groups
Mar
17
comment Determine if a graph has a large clique
The little known program MaxCliqueDyn to be found at sicmm.org/~konc/maxclique often supersedes cliquer. Maybe it helps in your situation.
Mar
9
comment Automorphism of finite groups and Hurwitz spaces
@oxeimon: Yes, I fixed it.
Mar
9
revised Automorphism of finite groups and Hurwitz spaces
added 6 characters in body
Mar
3
revised A curious identity related to finite fields
Fixed typo
Feb
21
revised When are arithmetic and geometric monodromy equal?
replaced *abelian* with the stronger *cyclic*
Feb
20
answered When are arithmetic and geometric monodromy equal?
Feb
14
comment Number of Permutation with at-most K cycles . (Elements Repeated)
This is the same question as the recently closed mathoverflow.net/questions/157516/…! It fails in many regards to be a reasonable MO question.
Feb
10
awarded  Nice Answer
Feb
8
revised Point of order 5 over an elliptic curve
modified approach
Feb
7
revised Point of order 5 over an elliptic curve
added 220 characters in body
Feb
7
answered Point of order 5 over an elliptic curve