Steffen Kionke

collaborators

3 papers

math.GR2026

On probabilistic identities and coset identities in pro- $p$ groups

Steffen Kionke, Nowras Otmen, Tommaso Toti +2

It is shown that a probabilistic identity on a $I ¨ $ -compact $K$ -analytic group $G$ , $K$ a non-archimedean local field, is a coset identity. As an application, one concludes that co…

math.NT2026

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 $\prod_{p \in S} Z_{p}$ equals $2$ for three sets $S$ : (i) the set of primes $p \equiv 1 mod 3$ , (ii) the set o…

math.GR2024

On the abscissae of Weil representation zeta functions for procyclic groups

Steffen Kionke

A famous conjecture of Chowla on the least primes in arithmetic progressions implies that the abscissa of convergence of the Weil representation zeta function for a procyclic group…

On probabilistic identities and coset identities in pro-p groups

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

On the abscissae of Weil representation zeta functions for procyclic groups

On probabilistic identities and coset identities in pro- $p$ groups