4 citations · 9 across the 11 of their papers we have counts for
9 papers · 1 filter
A class formula for effective Anderson motives
Xavier Caruso, Quentin Gazda, Alexis Lucas
We establish a class formula with variable for arbitrary effective Anderson motives. This pursues the pioneering work of Taelman and extends the scope of the work of Angl{è}s-Ngo D…
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…
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…
Residue of special functions of Anderson -modules at the characteristic graph
Quentin Gazda, Andreas Maurischat
Let be an Anderson -module over . The period lattice of is related to its module of special functions by means of a non-canonical isomorphism introd…
On the Integral Part of A-Motivic Cohomology
Quentin Gazda
The deepest arithmetic invariants attached to an algebraic variety defined over a number field are conjecturally captured by the integral part of its motivic cohomology. There…
An extension of Macdonald's identity for
Quentin Gazda
Let be an odd positive integer. In this short elementary note, we slightly extend Macdonald's identity for into a two-variables identity in the spirit of Ja…
Special Functions and Gauss-Thakur Sums in Higher Rank and Dimension
Quentin Gazda, Andreas Maurischat
Anderson generating functions have received a growing attention in function field arithmetic in the last years. Despite their introduction by Anderson in the 80s where they were at…
On generalized modular forms with a cuspidal divisor
Quentin Gazda
In [6], Kohnen proves that if where is a square-free integer, then any modular function of weight for having a divisor supported at the cusps is an -produ…
A Theorem for Distinct Zeros of L-Functions
Quentin Gazda
In this paper, we establish a simple criterion for two -functions and satisfying a functional equation (and some natural assumptions) to have infinitely many distinc…