On the moments of torsion points modulo primes and their applications

DOI10.1142/S1793042121500226zbMath1481.11092arXiv1907.00286OpenAlexW3081103804MaRDI QIDQ4992596

Peng-Jie Wong, Amir Akbary

Publication date: 9 June 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.00286

zbMATH Keywords

group actiontorsion pointsChebotarev density theoremBurnside's lemmacommutative algebraic group

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Elliptic curves over global fields (11G05) Primes in congruence classes (11N13) Cyclotomic extensions (11R18)

Uses Software

• LMFDB

Cites Work

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• On Artin's conjecture
• On the distribution of torsion points modulo primes: the case of function fields
• On the supersingular reduction of elliptic curves
• Some counting problems related to permutation groups
• The average number of torsion points on elliptic curves
• Galois properties of points of finite order of elliptic curves
• On the distribution of the order and index of \(g\) (mod \(p\)) over residue classes. I
• ON THE DISTRIBUTION OF TORSION POINTS MODULO PRIMES
• On a theorem of Jordan

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