An analogue of the Siegel-Walfisz theorem for the cyclicity of CM elliptic curves mod \(p\)

DOI10.1007/s13226-010-0002-4zbMath1205.11061OpenAlexW2067066163MaRDI QIDQ981850

V. Kumar Murty, Amir Akbary

Publication date: 9 July 2010

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-010-0002-4

zbMATH Keywords

CM elliptic curvesSiegel-Walfisz theoremreduction mod \(p\)

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15)

Related Items

Cyclicity of elliptic curves modulo primes in arithmetic progressions ⋮ Bounded gaps between primes with a given primitive root. II ⋮ Average behaviors of invariant factors in Mordell-Weil groups of CM elliptic curves modulo \(p\) ⋮ Primes, elliptic curves and cyclic groups ⋮ Cyclicity and exponents of CM elliptic curves modulo $p$ in short intervals ⋮ Positivity of constants related to elliptic curves ⋮ On invariants of elliptic curves on average ⋮ A GEOMETRIC VARIANT OF TITCHMARSH DIVISOR PROBLEM

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