3 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.NT2026
Zeta functions over curves
F. Pellarin, with an appendix by G. H. Ferraro
In this paper we review the theory that David Goss developed, starting from 1979, to construct zeta functions around Carlitz zeta values and other remarkable formal series in local…
math.NT2026
Noncommutative factorizations of higher sine functions in positive characteristic
Nathan Green, Federico Pellarin
In this paper we describe new noncommutative factorizations of functions related to -th tensor powers of Carlitz's -module for , called higher sine fun…