Prime rational functions

@article{OmarKihel2015,
abstract = {Let f(x) be a complex rational function. We study conditions under which f(x) cannot be written as the composition of two rational functions which are not units under the operation of function composition. In this case, we say that f(x) is prime. We give sufficient conditions for complex rational functions to be prime in terms of their degrees and their critical values, and we also derive some conditions for the case of complex polynomials.},
author = {Omar Kihel, Jesse Larone},
journal = {Acta Arithmetica},
keywords = {prime polynomials; prime rational functions; critical values; critical points; resultant},
language = {eng},
number = {1},
pages = {29-46},
title = {Prime rational functions},
url = {http://eudml.org/doc/278868},
volume = {169},
year = {2015},
}

TY - JOUR
AU - Omar Kihel
AU - Jesse Larone
TI - Prime rational functions
JO - Acta Arithmetica
PY - 2015
VL - 169
IS - 1
SP - 29
EP - 46
AB - Let f(x) be a complex rational function. We study conditions under which f(x) cannot be written as the composition of two rational functions which are not units under the operation of function composition. In this case, we say that f(x) is prime. We give sufficient conditions for complex rational functions to be prime in terms of their degrees and their critical values, and we also derive some conditions for the case of complex polynomials.
LA - eng
KW - prime polynomials; prime rational functions; critical values; critical points; resultant
UR - http://eudml.org/doc/278868
ER -