# All Questions

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### Question on some coverings of the euclidean space

Edit : no answer, no comment ... let's try with a chocolate bar. Let $L$ be a maximal integral lattice in the euclidean $(\mathbf R^{8m},q)$ (thus the associated bilinear form ...
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### Inverse Mellin of the exponential of the digamma function

I'm looking for a function $f(x)$ satisfying $$\int_0^\infty f(x)x^{s-1}dx=e^{-p\psi(s)}$$ where $\psi(s)$ is the usual digamma function and $p>0$. The inverse Mellin formula is  ...
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### Simple argument regarding sums of two units in a number field?

I wonder if it is possible to show, without using the Schmidt subspace/Roth theorem/Baker's bounds on linear forms in logarithms or other very deep results, that, in a number field, not all integral ...
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### A finiteness question for integrable polynomial distributions on $\mathbb{R}^3$

This question is motivated by the finitness of limit cycles for polynomial vector fields on $\mathbb{R}^2$ Assume that $X,Y$ are two independent polynomial vector fields on $\mathbb{R}^{3}$ such ...
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$v$ is a vector of length $n$, where $v_1 = 1$ and every element $v_i \in [0,1]$ $w = \| v \|_1^1 = \sum_i |v_i| = \sum_i v_i$ $x = \| v \|_2^2 = \sum_i |v_i|^2 = \sum_i v_i^2$ $y = \| v \|_3^3 = ... 3answers 4k views +100 ### Every prime number > 19 divides one plus the product of two smaller primes? This is a part of my answer to this question I think it deserves to be treated separately. Conjecture Let$A$be the set of all primes from$2$to$p>19$. Let$q$be the next prime after$p$. ... 1answer 137 views +100 ### Conditions on the fusion data of symmetric fusion category We know that every symmetric fusion category (SFC) gives rise to data$N^{ij}_k$that describe the fusion of simple objects:$i\times j = N^{ij}_k k$, and the data$\theta_i =\pm 1$that describe the ... 1answer 144 views +100 ### The Irreducible Representations of the Sekine Quantum Groups Here Y. Sekine introduces a one-parameter family of finite quantum groups of dimension$2n^2$. Let$n\geq 3$be fixed and$\zeta=e^{2\pi i/n}$(I have a feeling this should actually be$e^{\pi i/n}$- ... 0answers 313 views +50 ### Explicit description/calculation of norm group of ideles of characteristic$p\$ global field

I posted the same question earlier in stack exchange, (http://math.stackexchange.com/questions/1130391/algebraic-proof-of-2nd-inequality-of-global-class-field) thinking it is most definitely not a ...