2 papers
math.NT2026
The Carlitz module and a differential Ax-Lindemann-Weierstrass theorem for the Euler gamma function
Lucia Di Vizio, Federico Pellarin
We prove a differential transcendence result of type "Ax-Lindemann-Weierstrass" for Euler's gamma function. Given meromorphic functions of a complex variable …
math.CO2025
Singular walks in the quarter plane and Bernoulli numbers
Alin Bostan, Lucia Di Vizio, Kilian Raschel
We consider singular (aka genus ) walks in the quarter plane and their associated generating functions , which enumerate the walks starting from the origin, of fixed e…