| Autor: |
Deneufchâtel, Matthieu, Duchamp, Gérard Henry Edmond, Minh, Vincel Hoang Ngoc, Solomon, Allan I. |
| Rok vydání: |
2011 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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