On the counting function of elliptic Carmichael numbers

Florian Luca; Igor E. Shparlinski

doi:10.4153/CMB-2012-037-4

On the counting function of elliptic Carmichael numbers

Florian Luca, Igor E. Shparlinski

School of Computing

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We give an upper bound for the number of elliptic Carmichael numbers n ≤ x that were recently introduced by J. H. Silverman in the case of an elliptic curve without complex multiplication (non CM). We also discuss several possible further improvements.

Original language	English
Pages (from-to)	105-112
Number of pages	8
Journal	Canadian Mathematical Bulletin
Volume	57
Issue number	1
DOIs	https://doi.org/10.4153/CMB-2012-037-4
Publication status	Published - Mar 2014

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abstract = "We give an upper bound for the number of elliptic Carmichael numbers n ≤ x that were recently introduced by J. H. Silverman in the case of an elliptic curve without complex multiplication (non CM). We also discuss several possible further improvements.",

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On the counting function of elliptic Carmichael numbers

Abstract

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