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math.NT2026
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…
math.NT2024
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…