Primitive prime divisors in the critical orbits of one-parameter families of rational polynomials

DOI10.1017/S0305004121000025zbMath1484.11089arXiv1903.01052MaRDI QIDQ5157853

Rufei Ren

Publication date: 20 October 2021

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.01052

zbMATH Keywords

critical orbitsprimitive divisorsZsigmondy bound

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Special sequences and polynomials (11B83) Primes (11A41)

Related Items (2)

Diophantine approximation and primitive prime divisors in random iterations ⋮ Primitive prime divisors in backward orbits

Cites Work

• ABC implies primitive prime divisors in arithmetic dynamics
• Primitive Prime Divisors in Zero Orbits of Polynomials
• Primitive Prime Divisors in the Critical Orbit of zd+c
• Primitive divisors in arithmetic dynamics
• Primitive divisors of the expression An - Bn in algebraic number fields.
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