For a monic polynomial $f$ with integer coefficients such that zero is a critical point of $f$, we consider the zero orbit, namely the sequence $(f^n(0))_{n\geq 1}$. If this orbit is an infinite sequence, then we show that the Zsigmondy set of this sequence is either empty or it has at most two elements.
Monsef Shokri, K. (2022). The Zsigmondy set for zero orbit of a rigid polynomial. Khayyam Journal of Mathematics, 8(1), 115-119. doi: 10.22034/kjm.2022.261184.2086
MLA
Khosro Monsef Shokri. "The Zsigmondy set for zero orbit of a rigid polynomial". Khayyam Journal of Mathematics, 8, 1, 2022, 115-119. doi: 10.22034/kjm.2022.261184.2086
HARVARD
Monsef Shokri, K. (2022). 'The Zsigmondy set for zero orbit of a rigid polynomial', Khayyam Journal of Mathematics, 8(1), pp. 115-119. doi: 10.22034/kjm.2022.261184.2086
VANCOUVER
Monsef Shokri, K. The Zsigmondy set for zero orbit of a rigid polynomial. Khayyam Journal of Mathematics, 2022; 8(1): 115-119. doi: 10.22034/kjm.2022.261184.2086