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

1d
awarded  Nice Answer
1d
revised Is every number the sum of two cubes modulo p where p is a prime not equal to 7?
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1d
revised Is every number the sum of two cubes modulo p where p is a prime not equal to 7?
added 539 characters in body
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answered Is every number the sum of two cubes modulo p where p is a prime not equal to 7?
1d
awarded  Yearling
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?
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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