5 citations · 10 across the 12 of their papers we have counts for
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math.CV2016
The initial and terminal cluster sets of an analytic curve
Paul M. Gauthier
For an analytic curve $γ:(a,b)\rightarrow \C,$ the set of values approached by as and as can be any two continuua of $\C\cup\{\infty\}.$
math.CV2016
Spherical arc-length as a global conformal parameter for analytic curves in the Riemann sphere
Paul Gauthier, Vassili Nestoridis, Athanase Papadopoulos
We prove that for every analytic curve in the complex plane, Euclidean and spherical arc-lengths are global conformal parameters. We also prove that for any analytic curve in the h…
math.CV2016
Dirichlet approximation and universal Dirichlet series
Richard Aron, Frédéric Bayart, Paul Gauthier +2
We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance a…