Violetta Weger

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20182026

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math.NT2022

Local to global principle over number fields for higher moments

Giacomo Micheli, Severin Schraven, Simran Tinani +1

The local to global principle for densities is a very convenient tool proposed by Poonen and Stoll to compute the density of a given subset of the integers. In this paper we provid…

math.NT2020

Local to global principle for expected values

Giacomo Micheli, Severin Schraven, Violetta Weger

This paper constructs a new local to global principle for expected values over free $Z$ -modules of finite rank. In our strategy we use the same philosophy as Ekedhal's Sie…

math.NT2018

On rectangular unimodular matrices over the algebraic integers

Giacomo Micheli, Violetta Weger

Let $n$ and $m$ be positive integers such that $n < m$ . In this paper we compute the density of rectangular unimodular $n$ by $m$ matrices over the ring of algebraic integers of a nu…