13 citations · 23 across the 4 of their papers we have counts for
5 papers
Searching for Molecular Signatures in 14 Transiting Exoplanets with SPIRou
A. Masson, S. Vinatier, B. Bézard +6
High-resolution spectroscopy provides unique constraints on exoplanet atmospheric composition and dynamics. The past decade of ground-based campaigns has accumulated extensive publ…
Gauss sums, Jacobi sums and cyclotomic units related to torsion Galois modules
Luca Caputo, Stéphane Vinatier
Let be a finite group and let be a tamely ramified -Galois extension of number fields. We show how Stickelberger's factorization of Gauss sums can be used to determine…
Exponential power series, Galois module structure and differential modules
Erik Jarl Pickett, Stephane Vinatier
We use new over-convergent p-adic exponential power series, inspired by work of Pulita, to build self-dual normal basis generators for the square root of the inverse different of c…
Construction of self-dual normal bases and their complexity
François Arnault, Erik Jarl Pickett, Stéphane Vinatier
Recent work of Pickett has given a construction of self-dual normal bases for extensions of finite fields, whenever they exist. In this article we present these results in an expli…
Self-Dual Integral Normal Bases and Galois Module Structure
Erik Jarl Pickett, Stéphane Vinatier
Let be an odd degree Galois extension of number fields with Galois group and rings of integers and ${\mathfrak O}_F=\bo$ respectively. Let …