Katharina Müller

collaborators

3 papers

math.NT2023

On towers of Isogeny graphs with full level structure

Antonio Lei, Katharina Müller

Let $p, q, l$ be three distinct prime numbers and let $N$ be a positive integer coprime to $pq l$ . For an integer $n \geq 0$ , we define the directed graph $X_{l}^{q} (p^{n} N)$ whose vertices a…

math.NT2023

On the non-commutative Iwasawa main conjecture for voltage covers of graphs

Sören Kleine, Katharina Müller

Let $p$ be a rational prime, and let $X$ be a connected finite graph. In this article we study voltage covers $X_{\infty}$ of $X$ attached to a voltage assignment $α$ which takes val…

math.NT2023

On the Zeta functions of supersingular isogeny graphs and modular curves

Antonio Lei, Katharina Müller

Let $p$ and $q$ be distinct prime numbers, with $q \equiv 1 (mod 12)$ . Let $N$ be a positive integer that is coprime to $pq$ . We prove a formula relating the Hasse--Weil zeta functi…