We apply Nevanlinna's value distribution theory to show that some functional equations of Diophantine type have no admissible meromorphic solutions. This result confirms a recent conjecture of Li and Yang.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap94-3-5,
author = {Ping Li and Xianyang Zhang},
title = {Meromorphic solutions of a kind of functional equations of Diophantine type},
journal = {Annales Polonici Mathematici},
volume = {93},
year = {2008},
pages = {265-273},
zbl = {1158.30022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap94-3-5}
}
Ping Li; Xianyang Zhang. Meromorphic solutions of a kind of functional equations of Diophantine type. Annales Polonici Mathematici, Tome 93 (2008) pp. 265-273. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap94-3-5/