Showing 2004Show all
3 papers · 1 filter
math.NT2004
Polylogarithms and a Zeta Function for Finite Places of a Function Field
Anatoly N. Kochubei
We introduce and study new versions of polylogarithms and a zeta function on a completion of at a finite place. The construction is based on the use of the Carlit…
math.NT2004
Umbral Calculus in Positive Characteristic
Anatoly N. Kochubei
An umbral calculus over local fields of positive characteristic is developed on the basis of a relation of binomial type satisfied by the Carlitz polynomials. Orthonormal bases in…
math.NT2004
Strongly Nonlinear Differential Equations with Carlitz Derivatives over a Function Field
Anatoly N. Kochubei
In earlier papers the author studied some classes of equations with Carlitz derivatives for -linear functions, which are the natural function field counterparts of lin…