Averages of elliptic curve constants

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We compute the averages over elliptic curves of the constants occurring in the Lang-Trotter conjecture, the Koblitz conjecture, and the cyclicity conjecture. The results obtained confirm the consistency of these conjectures with the corresponding ``theorems on average'' obtained recently by various authors.
22 pages

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Number Theory, 11G05, 11F80

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http://salesiana.dossiersoluciones.com/handle/123456789/142673

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.3484
 http://arxiv.org/abs/0711.3484

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arXiv