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On Fabry's quotient theorem

By Lev Buhovsky

Appears in collections : 2021 - T2 - WS2 - Advances in Symplectic Topology, ECM 2024 Invited Speakers

The Fabry quotient theorem states that for a complex power series with unit radius of convergence, if the quotient of its consecutive coefficients tends to s, then the point z=s is a singular point of the series. In my talk I will try to describe an elementary proof of the theorem.

Information about the video

  • Date of recording 20/05/2021
  • Date of publication 20/05/2021
  • Institution IHP
  • Language English
  • Audience Researchers
  • Format MP4

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