2 papers
math.NT2005
Hypergeometric Functions and Carlitz Differential Equations over Function Fields
Anatoly N. Kochubei
The paper is a survey of recent results in analysis of additive functions over function fields motivated by applications to various classes of special functions including Thakur's…
math.RA2005
Quasi-Holonomic Modules in Positive Characteristic
Anatoly N. Kochubei
We study modules over the Carlitz ring, a counterpart of the Weyl algebra in analysis over local fields of positive characteristic. It is shown that some basic objects of function…