5 problems

Let $\mathcal B(\mathbb C)$ be the Bloch group, defined as the kernel of the complex Dehn invariant, and let … be the Bloch regulator map. Bloch regulator injectivity conjecture. T…

For an integer $N\geq 3$, let $D_2$ denote the Bloch–Wigner dilogarithm, and consider the real numbers $D_2(e^{2\pi\sqrt{-1}j/N})$ indexed by integers $j$ relatively prime to $N$ w…

Let $w_0\approx 0.916198+0.182459i$ be the unique solution of $\operatorname{Li_2}(w)+2\pi i\log(w)=0$, and define … Then $w_0=1-e^{-2\pi i z_0}$ and $1<\operatorname{Re}(z_0)<2$.…

Let $\operatorname{Li_2}(z)$ be the dilogarithm, let $w_0$ be the unique solution of … with $w_0\approx 0.916198+0.182459i$, and define … Thus $w_0=1-e^{-2\pi i z_0}$ and…

Let $A$ be a positive definite symmetric $r\times r$ matrix with rational coefficients. Let $(Q_1,\dots,Q_r)$ range over the solutions in number fields of the algebraic system … ma…