Complex dimensions of self-similar fractal strings and Diophantine approximation.
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Concordant sequences and integral-valued entire functions
Jonathan Pila, Fernando Rodriguez Villegas (1999)
Acta Arithmetica
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".
S.G. Dani (1985)
Journal für die reine und angewandte Mathematik
Critère de reconnaissabilité de fonctions analytiques et fonctions entières arithmétiques
Adam Bazylewicz (1988)
Acta Arithmetica
Currently displaying 1 – 4 of 4
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