A SPARSITY RESULT FOR THE DYNAMICAL MORDELL–LANG CONJECTURE IN POSITIVE CHARACTERISTIC

DOI10.1017/S0004972721000083zbMath1485.11105arXiv2012.13711WikidataQ113858144 ScholiaQ113858144MaRDI QIDQ5013848

Dragos Ghioca, Alina Ostafe, Sina Saleh, Igor E. Shparlinski

Publication date: 3 December 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.13711

zbMATH Keywords

dynamical Mordell-Lang conjecturelinear recurrence sequences

Mathematics Subject Classification ID

Recurrences (11B37) Varieties over finite and local fields (11G25) Arithmetic dynamics on general algebraic varieties (37P55)

Related Items (5)

The orbit intersection problem in positive characteristic ⋮ Zariski dense orbits for regular self-maps of split semiabelian varieties in positive characteristic ⋮ A fusion variant of the classical and dynamical Mordell-Lang conjectures in positive characteristic ⋮ On sparsity of representations of polynomials as linear combinations of exponential functions ⋮ Zariski dense orbits for regular self-maps of tori in positive characteristic

Cites Work

• Unnamed Item
• Periodic points, linearizing maps, and the dynamical Mordell-Lang problem
• The dynamical Mordell-Lang problem for Noetherian spaces
• Finiteness of odd perfect powers with four nonzero binary digits
• The Dynamical Mordell–Lang Conjecture
• The isotrivial case in the Mordell-Lang Theorem
• The dynamical Mordell-Lang conjecture in positive characteristic
• F -structures and integral points on semiabelian varieties over finite fields
• THE DYNAMICAL MORDELL–LANG CONJECTURE FOR ENDOMORPHISMS OF SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC
• Exponential diophantine equations

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