5 citations · 10 across the 12 of their papers we have counts for
17 papers
Holomorphic motion, rational approximation and an equivalent formulation of the Riemann Hypothesis
P. M. Gauthier, Jujie Wu
A compact subset of the complex plane $\C$ is a set of polynomial (respectively rational) approximation if (respectively ), where (respectively $R…
Radial limits of solutions to elliptic partial differential equations
Paul M. Gauthier, Mohammad Shirazi
For certain elliptic differential operators we study the behaviour of solutions to as we tend to the boundary along radii in strictly starlike domains in $\R^n, n\ge 3…
Asymptotic first boundary value problem for holomorphic functions of several complex variables
Paul M. Gauthier, Mohammad Shirazi
In 1955, Lehto showed that, for every measurable function on the unit circle there is function holomorphic in the unit disc having as radial l…
Asymptotic first boundary value problem for elliptic operators
Javier Falcó, Paul M. Gauthier
In 1955, Lehto showed that, for every measurable function on the unit circle there is a function holomorphic in the unit disc, having as radial limit a.e.…
Approximation in measure: Dirichlet problem, universality and the Riemann hypothesis
Javier Falcó, Paul M. Gauthier
Approximation in measure is employed to solve an asymptotic Dirichlet problem on arbitrary open sets and to show that many functions, including the Riemann zeta-function, are unive…
An algebra of polyanalytic functions
Abtin Daghighi, Paul M. Gauthier
The most important uniform algebra is the family of continuous functions on a compact subset of the complex plane which are analytic on the interior int For c…