On the Counting Function of Elliptic Carmichael Numbers
Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 105-112
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We give an upper bound for the number of elliptic Carmichael numbers $n\,\le \,x$ that were recently introduced by J. H. Silverman in the case of an elliptic curve without complex multiplication (non $\text{CM}$ ). We also discuss several possible further improvements.
Mots-clés :
11Y11, 11N36, elliptic Carmichael numbers, applications of sieve methods
Luca, Florian; Shparlinski, Igor E. On the Counting Function of Elliptic Carmichael Numbers. Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 105-112. doi: 10.4153/CMB-2012-037-4
@article{10_4153_CMB_2012_037_4,
author = {Luca, Florian and Shparlinski, Igor E.},
title = {On the {Counting} {Function} of {Elliptic} {Carmichael} {Numbers}},
journal = {Canadian mathematical bulletin},
pages = {105--112},
year = {2014},
volume = {57},
number = {1},
doi = {10.4153/CMB-2012-037-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-037-4/}
}
TY - JOUR AU - Luca, Florian AU - Shparlinski, Igor E. TI - On the Counting Function of Elliptic Carmichael Numbers JO - Canadian mathematical bulletin PY - 2014 SP - 105 EP - 112 VL - 57 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-037-4/ DO - 10.4153/CMB-2012-037-4 ID - 10_4153_CMB_2012_037_4 ER -
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