@InProceedings{pin_et_al:LIPIcs.ICALP.2019.125, author = {Pin, Jean-\'{E}ric and Reutenauer, Christophe}, title = {{A Mahler’s Theorem for Word Functions}}, booktitle = {46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)}, pages = {125:1--125:13}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-109-2}, ISSN = {1868-8969}, year = {2019}, volume = {132}, editor = {Baier, Christel and Chatzigiannakis, Ioannis and Flocchini, Paola and Leonardi, Stefano}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2019.125}, URN = {urn:nbn:de:0030-drops-107019}, doi = {10.4230/LIPIcs.ICALP.2019.125}, annote = {Keywords: group languages, interpolation series, pro-p metric, regularity preserving} }