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Search: MSC category 11Y11 ( Primality )

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1. CMB 2012 (vol 57 pp. 105)

Luca, Florian; Shparlinski, Igor E.
On the Counting Function of Elliptic Carmichael Numbers
We give an upper bound for the number elliptic Carmichael numbers $n \le x$ that have recently been introduced by J. H. Silverman in the case of an elliptic curve without complex multiplication (non CM). We also discuss several possible ways for further improvements.

Keywords:elliptic Carmichael numbers, applications of sieve methods
Categories:11Y11, 11N36

2. CMB 2011 (vol 54 pp. 288)

Jacobs, David P.; Rayes, Mohamed O.; Trevisan, Vilmar
The Resultant of Chebyshev Polynomials
Let $T_{n}$ denote the $n$-th Chebyshev polynomial of the first kind, and let $U_{n}$ denote the $n$-th Chebyshev polynomial of the second kind. We give an explicit formula for the resultant $\operatorname{res}( T_{m}, T_{n} )$. Similarly, we give a formula for $\operatorname{res}( U_{m}, U_{n} )$.

Keywords:resultant, Chebyshev polynomial
Categories:11Y11, 68W20

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