Complex dimensions of self-similar fractal strings and Diophantine approximation.
Concordant sequences and integral-valued entire functions
A classic theorem of Pólya shows that the function is the “smallest” integral-valued entire transcendental function. A variant due to Gel’fond applies to entire functions taking integral values on a geometric progression of integers, and Bézivin has given a generalization of both results. We give a sharp formulation of Bézivin’s result together with a further generalization.
Correction to the paper "Divergent trajectories of flows on homogeneous spaces and Diophantine approximations".
Critère de reconnaissabilité de fonctions analytiques et fonctions entières arithmétiques