2 problems

Let $\mathcal{L}/\mathbb{Q}$ be an infinite extension. For a prime power $q$, let $\psi_q$ denote the limiting normalized number of prime ideals of norm $q$ in finite subextensions…

Bottom theorem. For almost all $\boldsymbol{\sigma}\in\operatorname{Gal}(K)^e$ and every proper subfield $N\subsetneqq K_s(\boldsymbol{\sigma})$, if the extension…