Independence of hyperlogarithms over function fields via algebraic combinatorics

Deneufchâtel, Matthieu; Duchamp, Gérard H. E.; Minh, Vincel Hoang Gnoc and Solomon, Allan I. (2011). Independence of hyperlogarithms over function fields via algebraic combinatorics. In: CAI 2011 : 4th conference on algebraic informatics, 21-24 Jun 2011, Hagenberg/Linz, Austria.

DOI: https://doi.org/10.1007/978-3-642-21493-6_8

URL: http://emis.icm.edu.pl/journals/SLC/wpapers/s67vor...

Abstract

We obtain a necessary and sufficient condition for the linear independence of solutions of differential equations for hyperlogarithms. The key fact is that the multiplier (i.e. the factor M in the differential equation dS=MS) has only singularities of first order (Fuchsian-type equations) and this implies that they freely span a space which contains no primitive. We give direct applications where we extend the property of linear independence to the largest known ring of coefficients.

Viewing alternatives

Metrics

Item Actions

Export

You can export this page using these formats Digital Object Identifier - DOI