3 papers
math.NT2025
Quadratic Euler-Kronecker constants in positive characteristic
Amir Akbary, Félix Baril Boudreau
In 2006, Ihara defined and systematically studied a generalization of the Euler-Mascheroni constant for all global fields, named the Euler-Kronecker constants. This paper examines…
math.NT2024
Kummer theory for function fields
Félix Baril Boudreau, Antonella Perucca
We develop Kummer theory for algebraic function fields in finitely many transcendental variables. We consider any finitely generated Kummer extension (possibly, over a cyclotomic e…
math.NT2023
Adelic perturbation of rational functions and applications
Félix Baril Boudreau, Erik Holmes, Khoa D. Nguyen
Let be the power series representation of a rational function and let be a so-called almost q…