International Mathematics Research Notices (2005) 2005:3835-3854, doi:10.1155/IMRN.2005.3835
Copyright © 2005 Hindawi Publishing Corporation. All rights reserved.
Transcendence of values at algebraic points for certain higher-order hypergeometric functions
Pierre-Antoine Desrousseaux,
Marvin D. Tretkoff and
Paula Tretkoff
We describe the exceptional set of a function studied by Picard. This is the set of algebraic points at which the function takes algebraic values. In particular, we deduce necessary and sufficient conditions for the finiteness of the exceptional set. Some of our results depend on recent conjectures of Pink.

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