Prime rational functions

• Autorzy: Omar Kihel , Jesse Larone
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11C08: Polynomials
• 12E05: Polynomials (irreducibility, etc.)
• 26C15: Rational functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 169
• Numer: 1
• Strony: 29-46

Daty

wydano

2015

Twórcy

autor

Omar Kihel

• Department of Mathematics, Brock University, St. Catharines, Ontario L2S 3A1, Canada

autor

Jesse Larone

• Department of Mathematics, Brock University, St. Catharines, Ontario L2S 3A1, Canada

Identyfikatory

DOI

10.4064/aa169-1-2