Ben Forrás

collaborators

6 papers

math.NT2026

Class Number Relations in Abelian Extensions of Global Fields

Saad El Boukhari, Ben ForrÃ¡s

Consider a finite abelian extension $K / k$ of global fields with Galois group $G$ . We study the rank-one component of the generalized Stickelberger module associated with $K / k$ and…

math.RA2026

On the Wedderburn decomposition of the total ring of quotients of certain Iwasawa algebras II

Ben ForrÃ¡s

Let $G ≃ H ⋊ I^$ be the semidirect product of a finite group $H$ and $I^ ≃ Z_{p}$ . Let $F / Q_{p}$ be a finite extension with ring of integers $\math…

math.RA2025

On the Wedderburn decomposition of the total ring of quotients of certain Iwasawa algebras

Ben ForrÃ¡s

Let $G ≃ H ⋊ I^$ be the semidirect product of a finite group $H$ and $I^ ≃ Z_{p}$ . Let $F / Q_{p}$ be a finite extension with ring of integers $\mathc…

math.RA2025

Graduated orders over completed group rings and conductor formulÃ¦

Ben ForrÃ¡s

We study graduated orders over completed group rings of $1$ -dimensional admissible $p$ -adic Lie groups, and verify the equivariant $p$ -adic Artin conjecture for such orders. Follow…

math.NT2025

An equivariant $p$ -adic Artin conjecture

Ben ForrÃ¡s

We formulate an equivariant version of Greenberg's $p$ -adic Artin conjecture for smoothed equivariant $p$ -adic Artin $L$ -functions in the context of an arbitrary one-dimensional ad…

math.NT2025

On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields

Ben ForrÃ¡s, Katharina MÃ¼ller

Let $E / Q$ be an elliptic curve and let $p \geq 5$ be a prime of good supersingular reduction. We generalize results due to Meng Fai Lim proving Kida's formula and integralit…

Class Number Relations in Abelian Extensions of Global Fields

On the Wedderburn decomposition of the total ring of quotients of certain Iwasawa algebras II

On the Wedderburn decomposition of the total ring of quotients of certain Iwasawa algebras

Graduated orders over completed group rings and conductor formulÃ¦

An equivariant p-adic Artin conjecture

On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields

An equivariant $p$ -adic Artin conjecture