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Register a new userIndependence of hyperlogarithms over function fields via algebraic combinatorics
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Added by
Gerard Henry Edmond Duchamp
Publication date
2011
fields
Informatics Engineering
and research's language is
English
Authors
Matthieu Deneufch^atel
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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.
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