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bio website mathematik.uni-wuerzburg.de/…
location Würzburg
age 49
visits member for 3 years, 8 months
seen 47 mins ago
I'm a professor of mathematics at the University of Würzburg (Germany). For further infos see my web page.

1d
comment Need explicit formula for certain “$q$-numbers” involving gcd's
@OP: What is $\langle e_0,e_0\rangle$? It seems to me that the problem is not well formulated, as $gcd(0,0)=\infty$. In particular, I don't know how to interpret your assertion $0=\langle o_0,o_1\rangle=\langle e_0,e_1-qe_0\rangle=q-q\cdot q^{gcd(0,0)}$.
Jun
21
comment How to prove this polynomial always has integer values at all integers?
Comparing the leading coefficient of $P_m(x)$ with that of $\binom{x}{2m}$, one gets that $\frac{3}{(2m+1)(m-1)}\binom{2m}{m}\sum_{i=0}^m\binom{m}{i}^2\frac{1}{2i-1}$ is an integer provided that $P_m(\mathbb Z)\subseteq\mathbb Z$. Is this integrality known? I don't know if there is a closed expression for the sum.
Jun
8
comment Existence of polynomials of degree $\geq 2$ which represent infinitely many prime numbers
@Gerhard Paseman: $x^2+y^2$ even assumes all the infinitely many primes in $4\mathbb N+1$ ...
Jun
8
comment Existence of polynomials of degree $\geq 2$ which represent infinitely many prime numbers
@Yaakov: Doesn't that imply that one of the finitely many polynomials represents infinitely many primes ...?
Jun
8
answered Existence of polynomials of degree $\geq 2$ which represent infinitely many prime numbers
May
26
awarded  Necromancer
May
26
revised Seeking conceptual explanation of these nice bijections on roots of unity
fixed typos
May
26
answered Seeking conceptual explanation of these nice bijections on roots of unity
May
19
comment What is prime power of this equation of p?
@darya: Instead of asking a new question in a comment, you probably should pose this as another question. Also, you should tell why you are interested in this specific equation.
Apr
9
revised Is there a non-explicit characterization of the Specht modules?
fixed two typos
Mar
16
answered Invariant subspaces of an $F_2$-representation of the affine linear group of dimension 1
Mar
10
answered Permutation polynomials mod $p$ of the form $(x+1)^n-x^n$
Feb
28
comment If d(“G/H”) < d(G) = 2, must H contain a primitive element?
@Pablo: Indeed, my comment wasn't correct. Now that Derek Holt provided the details, there is no need to fix it.
Feb
26
awarded  Good Answer
Feb
26
revised Circles and rational functions
added 248 characters in body
Feb
26
revised Circles and rational functions
improved the answer, provided a link to a preprint with more details
Dec
27
answered Measuring how closely a missing projective plane can be approached by an equivalent structure
Dec
17
awarded  Enlightened
Dec
17
awarded  Nice Answer
Dec
4
comment A generalized mean-value theorem
By stated result I meant the OP's $3$-point version, not the one from your answer which is a different formulation of the Schwarz version.