Marius Fischer

collaborators

3 papers

math.NT2026

Diophantine rank stability and non-vanishing of $L$ -functions

Marius Fischer, AsbjÃ¸rn Christian Nordentoft

Let $A / Q$ be a modular abelian variety of analytic rank $0$ . If $G$ is a non-trivial finite abelian group such that all prime factors of $∣ G ∣$ are sufficiently…

math.NT2026

$L^{4}$ -norms of automorphic forms in the depth aspect

Marius Fischer

Let $p$ be an odd prime, and suppose $f$ is an $L^{2}$ -normalised newform for $I^_{0} (p^{n})$ with bounded spectral parameters and trivial central character. We prove the optimal $L^{4}$ -n…

math.NT2025

The spin of prime ideals and level-raising of even Galois representations

Marius Fischer, Peter Vang Uttenthal

By extending the notion of spin of prime ideals, we show that a short character sum conjecture implies that the set of primes raising the level of a certain even Galois representat…

Diophantine rank stability and non-vanishing of L-functions

L4-norms of automorphic forms in the depth aspect

The spin of prime ideals and level-raising of even Galois representations

Diophantine rank stability and non-vanishing of $L$ -functions

$L^{4}$ -norms of automorphic forms in the depth aspect