MathOverflow

$� = \int_{-\infty}^{\infty} \frac{\log|\zeta(½ + i t)|}{¼ + t²} , dt$.
$\log|\zeta(½ + i t)| = \Re \log \zeta(½ + i t)$,
$� = \Re \int_{-\infty}^{\infty} \frac{\log \zeta(½ + i t)}{¼ + t²} , dt$.

For real t,
$∫₁/₂^∞ log|ζ(σ + i t)| dσ = ½ log π − ¼ log(t² + ¼) − ½ Re[Γ'/Γ(¼ + i t / 2)]$
This comes from Littlewood’s lemma and the functional equation (Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed., Thm 9.6(A), pp. 214–218; Balazard–Saias–Yor, Adv. Math. 143, 1999, Lemma 1, p. 287)....

I am studying a special kind of graphs, and I would like to know if they are studied in the literature and what they are called.Let $G$ be a simple, finite, undirected, connected graph, with vertex set $V$ and edge set $E$.Consider the $\mathbb R$-vector...

Firstly, a definition:
A convex polyhedron, whose faces are regular polygons (2D polytopes).
This includes the 92 Johnson solids, 13 Archimedean solids, 5 Platonic solids and two infinite familes - prisms and antiprisms.