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arxiv: 0711.3484 · v1 · submitted 2007-11-21 · 🧮 math.NT

Averages of elliptic curve constants

classification 🧮 math.NT
keywords conjectureaveragesconstantsellipticobtainedauthorsaveragecompute
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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.

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