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An algorithm to determine regular singular Mahler systems

Abstract : This paper is devoted to the study of the analytic properties of Mahler systems at 0. We give an effective characterisation of Mahler systems that are regular singular at 0, that is, systems which are equivalent to constant ones. Similar characterisations already exist for differential and (q-)difference systems but they do not apply in the Mahler case. This work fill in the gap by giving an algorithm which decides whether or not a Mahler system is regular singular at 0.
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Preprints, Working Papers, ...
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Contributor : Marina Poulet <>
Submitted on : Friday, February 19, 2021 - 6:54:28 PM
Last modification on : Monday, March 29, 2021 - 2:46:58 PM
Long-term archiving on: : Thursday, May 20, 2021 - 8:01:55 PM


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  • HAL Id : hal-03147365, version 1
  • ARXIV : 2102.10842


Colin Faverjon, Marina Poulet. An algorithm to determine regular singular Mahler systems. 2021. ⟨hal-03147365⟩



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