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- W2753374437 abstract "Let $mathbf{D}=(D_{n})_{ngeq 1}$ be an elliptic divisibility sequence associated to the pair $(E,P)$. For a fixed integer $k$, we define $mathscr{A}_{E,k}={ngeq 1 : gcd(n,D_{n})=k}$. We give an explicit structural description of $mathscr{A}_{E,k}$. Also, we explain when $mathscr{A}_{E,k}$ has positive asymptotic density using bounds related to the distribution of trace of Frobenius of $E$. Furthermore, we get explicit density of $mathscr{A}_{E,k}$ using the Mobius function." @default.
- W2753374437 created "2017-09-15" @default.
- W2753374437 creator A5008078906 @default.
- W2753374437 date "2017-08-28" @default.
- W2753374437 modified "2023-09-27" @default.
- W2753374437 title "The density of the terms in an elliptic divisibility sequence having a fixed G.C.D. with their index" @default.
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- W2753374437 doi "https://doi.org/10.48550/arxiv.1708.08357" @default.
- W2753374437 hasPublicationYear "2017" @default.
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