Steffen Kionke

activity

20242026

collaborators

3 papers

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.GR2025

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 $σ$ -compact $K$ -analytic group $G$ , $K$ a non-archimedean local field, is a coset identity. As an application, one concludes that com…

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…

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

On probabilistic identities and coset identities in pro-p groups

On the abscissae of Weil representation zeta functions for procyclic groups

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