School of Mathematics & Physics, University of Lincoln
A paper by Marina Avitabile (Univ. of Milano Bicocca) and Sandro Mattarei (Univ. of Lincoln), Generalized finite polylogarithms, has been accepted for publication in the Glasgow Mathematical Journal.
We introduce a generalization of the finite polylogarithms , in characteristic , which depends on a parameter .
The special case was previously investigated by the authors as the inverse, in an appropriate sense, of a parametrized generalization of the truncated exponential which is instrumental in a grading switching technique for non-associative algebras. Here we extend such generalization to in a natural manner, and study some properties satisfied by those polynomials. In particular, we find how the polynomials are related to the powers of and derive some consequences.