Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

An algorithm to recognize regular singular Mahler systems
HTML articles powered by AMS MathViewer

by Colin Faverjon and Marina Poulet HTML | PDF
Math. Comp. 91 (2022), 2905-2928 Request permission

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 fills in the gap by giving an algorithm which decides whether or not a Mahler system is regular singular at $0$. In particular, it gives an effective characterisation of Mahler systems to which an analog of Schlesinger’s density theorem applies.
References
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC (2020): 39A06, 68W30, 11B85
  • Retrieve articles in all journals with MSC (2020): 39A06, 68W30, 11B85
Additional Information
  • Colin Faverjon
  • Affiliation: Univ Lyon, Université Claude Bernard Lyon 1, CNRS UMR 5208, Institut Camille Jordan, F-69622 Villeurbanne, France
  • MR Author ID: 969708
  • Email: faverjon@math.univ-lyon1.fr
  • Marina Poulet
  • Affiliation: Univ Lyon, Université Claude Bernard Lyon 1, CNRS UMR 5208, Institut Camille Jordan, F-69622 Villeurbanne, France
  • Email: poulet@math.univ-lyon1.fr
  • Received by editor(s): March 2, 2021
  • Received by editor(s) in revised form: November 8, 2021, March 21, 2022, and April 19, 2022
  • Published electronically: August 1, 2022
  • Additional Notes: The work of the first author was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme under the Grant Agreement No 648132. The work of the second author was carried out within the framework of the LABEX MILYON (ANR-10-LABX-0070) of Université de Lyon, within the program “Investissements d’Avenir” (ANR-11-IDEX-0007) operated by the French National Research Agency (ANR)
  • © Copyright 2022 American Mathematical Society
  • Journal: Math. Comp. 91 (2022), 2905-2928
  • MSC (2020): Primary 39A06, 68W30; Secondary 11B85
  • DOI: https://doi.org/10.1090/mcom/3758
  • MathSciNet review: 4473107