
TL;DR
This paper extends classical primitive divisor theorems to polynomial rings, providing new analogues of well-known results using Carmichael's methods.
Contribution
It introduces polynomial analogues of Zsigmondy, Bang, Bilu-Hanrot-Voutier, and Carmichael theorems, advancing the understanding of primitive divisors in polynomial contexts.
Findings
Established polynomial versions of primitive divisor theorems
Extended classical results to polynomial rings
Used Carmichael's methods for proofs
Abstract
We find analogues of the primitive divisor results of Zsigmondy, Bang, Bilu-Hanrot-Voutier, and Carmichael in polynomial rings, following the methods of Carmichael.
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