We investigate Riemann's xi function $\xi(s):=\frac{1}{2}s(s-1)\pi^{-\frac{s}{2}}\Gamma(\frac{s}{2})\zeta(s)$ (here $\zeta(s)$ is the Riemann zeta function). The Hypothesis (RH) asserts that if $\xi(s)=0$, then $\mathrm{Re}(s)=\frac{1}{2}$. P\'olya proved RH equivalent to hyperbolicity of Jensen polynomials $J^{d,n}(X)$ constructed from certain Taylor coefficients $\xi(s)$. For each $d\geq 1$, ...

Our main results are certain developments of the classical Poisson--Jensen formula for subharmonic functions. The basis is natural duality between harmonic measures and Green's generalizations use some balayage their potentials.

Allowing for gene-environment correlation, Jensen (1975) reports that under a wide range of assumptions, the twin data show that onehalf ~o th~ee-fourths of IQ variance is accounted for by genetic factors. But that conc1usion;~fa11swhen an arbitrary specification is relaxed. ON JENSEN'S METHOD FOR TWINS