5 papers
The cyclosyntomic regulator of a number field
Tess Bouis, Quentin Gazda
We construct a q-deformation of the p-adic regulator of a number field, called the cyclosyntomic regulator, building on the Habiro ring of Garoufalidis-Scholze-Wheeler-Zagier. The…
Regulators in the Arithmetic of Function Fields
Quentin Gazda
As a natural sequel to the study of A-motivic cohomology initiated in "On the integral part of A-motivic cohomology", we develop a notion of regulator for rigid analytically trivia…
Pairing Anderson motives via formal residues in the Frobenius endomorphism
Quentin Gazda, Andreas Maurischat
Anderson modules form a generalization of Drinfeld modules and are commonly understood as the counterpart of abelian varieties but with function field coefficients. In an attempt t…
Computation of classical and -adic -series of -motives
Xavier Caruso, Quentin Gazda
We design an algorithm for computing the -series associated to an Anderson -motives, exhibiting quasilinear complexity with respect to the target precision. Based on experime…
Wieferich primes for Drinfeld modules
Xavier Caruso, Quentin Gazda, Alexis Lucas
The aim of this paper is to discuss the notion of Wieferich primes in the context of Drinfeld modules. Our main result is a surprising connection between the proprety of a monic ir…