Primes represented by quadratic forms and the Weil abscissa of abelian profinite groups

Martin Jann, Steffen Kionke

Here we show that the Weil abscissa of the procyclic groups ${\prod }_{p\in S}{\mathbb{Z}}_p$ equals $2$ for three sets $S$: (i) the set of primes $p\equiv 1\mathrm{mod}3$, (ii) the set o…