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arXiv · 0711.3484

Averages of elliptic curve constants

Nathan Jones
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Abstract

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.

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Nathan Jones. 2007-11-21. Averages of elliptic curve constants. https://arxiv.org/abs/0711.3484

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