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bio website mathematik.uni-wuerzburg.de/…
location Würzburg
age 48
visits member for 3 years
seen 6 hours ago
I'm a professor of mathematics at the University of Würzburg (Germany). For further infos see my web page.

Oct
7
comment Minimum word length for an unusual set of generators of the symmetric group
@Bhaskar Vashishth: (1) You asked this just 7 hours ago at math.stackexchange.com/questions/962121/…, so maybe you are a little impatient. (2) The book you mention is by Dixon and Mortimer. (3) The assertion you showed is exercise 1.2.16(i) there, your question is about the unsolved part (ii).
Oct
6
reviewed Approve suggested edit on Why do roots of polynomials tend to have absolute value close to 1?
Oct
1
reviewed Approve suggested edit on Order-increasing bijection from arbitrary groups to cyclic groups
Oct
1
comment On monotonicity of the roots of polynomials
Maybe some effective version of the Moivre-Laplace Theorem (approximating a binomial distribution by a normal distribution) could help here.
Oct
1
comment On monotonicity of the roots of polynomials
I doubt that Sturm's Theorem will be helpful here.
Sep
30
reviewed Approve suggested edit on A question about some notation involving the exclamation mark
Sep
26
revised Let $A\in\operatorname{M}_n(F)$ be a matrix, how to prove $\bigcap_{X\in C(A)}C(X)=F[A]=\frac{F[x]}{(m_A(x))}$
added 117 characters in body
Sep
26
answered Let $A\in\operatorname{M}_n(F)$ be a matrix, how to prove $\bigcap_{X\in C(A)}C(X)=F[A]=\frac{F[x]}{(m_A(x))}$
Sep
24
reviewed Approve suggested edit on List of integers without any arithmetic progression of n terms
Sep
22
comment nonnegativity conditions for a polynomial in two variables
By homogenizing the polynomial, that is, considering $Z^4P(X/Z,Y/Z)$, you can apply Polya in the inhomogeneous case as well.
Sep
13
comment Are bounds known for the maximum determinant of a (0,1)-matrix of specified size and with a specifed number of 1s?
Yes, in this case $\lvert\det M\rvert\le\beta^{n/2}$.
Sep
12
revised Are bounds known for the maximum determinant of a (0,1)-matrix of specified size and with a specifed number of 1s?
deleted 15 characters in body
Sep
12
revised Can a sum of roots of unity be an integer?
Point to a way better answer
Sep
12
comment Can a sum of roots of unity be an integer?
Oh, that's simple!!! One minor comment: Expressing elementary symmetric polynomials in terms of power sums requires denominators, so you only have $f\in\mathbb Q[x]$, which of course doesn't matter.
Sep
12
revised Subgroup cliques in the Paley graph
fixed a typo
Sep
12
answered Are bounds known for the maximum determinant of a (0,1)-matrix of specified size and with a specifed number of 1s?
Sep
11
awarded  Enlightened
Sep
11
awarded  Nice Answer
Sep
11
awarded  Enlightened
Sep
11
answered Can a division algebra have degree divisible by its characteristic?