Linnik's theorem for Sato-Tate laws on elliptic curves with complex multiplication
Let E/ℚ be an elliptic curve with complex multiplication (CM), and for each prime p of good reduction, let a[subscript E](p) = p + 1 − #E(𝔽[subscript p]) denote the trace of Frobenius. By the Hasse bound, a[subscript E] (p) = 2 √pcosθ[subscript p] for a unique θ[subscript p] ∈ [0,π]. In this paper,...
Main Authors: | Park, Peter S. (Author), Swaminathan, Ashvin A. (Author), Chen, Evan (Contributor) |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics (Contributor) |
Format: | Article |
Language: | English |
Published: |
Springer International Publishing,
2017-06-13T17:08:48Z.
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Subjects: | |
Online Access: | Get fulltext |
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