On abelian varieties associated with elliptic curves with complex multiplication
Tetsuo Nakamura (2001)
Acta Arithmetica
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Displaying similar documents to “A remark on certain simultaneous divisibility sequences”
On abelian varieties associated with elliptic curves with complex multiplication
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Harald Niederreiter (2009)
Acta Arithmetica
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Algebra of Polynomially Bounded Sequences and Negligible Functions
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In this article we formalize negligible functions that play an essential role in cryptology [10], [2]. Generally, a cryptosystem is secure if the probability of succeeding any attacks against the cryptosystem is negligible. First, we formalize the algebra of polynomially bounded sequences [20]. Next, we formalize negligible functions and prove the set of negligible functions is a subset of the algebra of polynomially bounded sequences. Moreover, we then introduce equivalence relation...
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On the problem of detecting linear dependence for products of abelian varieties and tori
Antonella Perucca (2010)
Acta Arithmetica
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