The size of semigroup orbits modulo primes
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Publication:6140367
DOI10.2140/pjm.2023.325.281arXiv2303.14819OpenAlexW4388293376MaRDI QIDQ6140367
Joseph H. Silverman, Wade Hindes
Publication date: 22 January 2024
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.14819
Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic dynamics on general algebraic varieties (37P55) Dynamical systems over finite ground fields (37P25)
Cites Work
- Linear relations between polynomial orbits
- Preperiodic points and unlikely intersections
- Periods of orbits modulo primes
- Variation of periods modulo \(p\) in arithmetic dynamics
- Finiteness theorems for abelian varieties over number fields.
- On periods modulo \(p\) in arithmetic dynamics
- Counting points of bounded height in monoid orbits
- Integral points on curves \(\frac{f(X)-f(Y)}{X-Y}\)
- Uniform Manin-Mumford for a family of genus 2 curves
- Generalized greatest common divisors for orbits under rational functions
- Stochastic canonical heights
- Periodic points on an algebraic variety
- Moduli Spaces and Arithmetic Dynamics
- Algebraic curvesP(x) −Q(y) = 0 and functional equations
- Orbits of polynomial dynamical systems modulo primes
- VARIATIONS ON A THEME OF ROMANOFF
- Preperiodic points for families of rational maps
- Current trends and open problems in arithmetic dynamics
- Dynamics of projective morphisms having identical canonical heights
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