On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields

DOI10.1215/00192082-9043478zbMath1479.11106arXiv2008.00433OpenAlexW3151814115WikidataQ114060395 ScholiaQ114060395MaRDI QIDQ2039744

Igor E. Shparlinski, Jorge Mello, Bryce Kerr

Publication date: 5 July 2021

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.00433

zbMATH Keywords

elliptic curvesrational functions

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Curves over finite and local fields (11G20) Elliptic curves over local fields (11G07)

Related Items (1)

Order of torsion for reduction of linearly independent points for a family of Drinfeld modules

Cites Work

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• Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems
• Simultaneous Torsion in the Legendre Family
• MULTIPLICATIVE ORDERS IN ORBITS OF POLYNOMIALS OVER FINITE FIELDS
• Orders of points in families of elliptic curves
• ON SEMIGROUP ORBITS OF POLYNOMIALS AND MULTIPLICATIVE ORDERS

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