On Fabry's quotient theorem
De Lev Buhovsky
Apparaît également dans la collection : 2021 - T2 - WS2 - Advances in symplectic topology
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.