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20172022
most citedIrreducible polynomials over finite fields produced by composition of quadratics

6 citations · 6 across the 4 of their papers we have counts for

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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 -modules of finite rank. In our strategy we use the same philosophy as Ekedhal's Sie…

math.NT2020

Exceptional scatteredness in prime degree

Andrea Ferraguti, Giacomo Micheli

Let be an odd prime power and be a positive integer. Let be a -linearised -scattered polynomial of linearized degree . Let $d=\max\{t,…

math.NT2019

The Algebraic Theory of Fractional Jumps

Dorian Goldfeld, Giacomo Micheli

In this paper we start by briefly surveying the theory of Fractional Jumps and transitive projective maps. Then, we give an efficient construction of a fractional jump of a project…

math.NT2019

An equivariant isomorphism theorem for mod reductions of arboreal Galois representations

Andrea Ferraguti, Giacomo Micheli

Let be a quadratic, monic polynomial with coefficients in , where is a localization of a number ring . In this paper, we f…

math.NT2018

Fractional jumps: complete characterisation and an explicit infinite family

Federico Amadio Guidi, Giacomo Micheli

In this paper we provide a complete characterisation of transitive fractional jumps by showing that they can only arise from transitive projective automorphisms. Furthermore, we pr…