Search Results for author: Steven Miller

Found 2 papers, 1 papers with code

Biases in Moments of Fourier Coefficients of Elliptic Curve Families

no code implementations4 Feb 2021 Steven Miller, Yan Weng

We define the r-th moment of an elliptic curve to be $A_{r, E}(p) := \frac1{p} \sum_{t \bmod p} a_t(p)^r$, where $a_t(p)$ is $p$ minus the number of solutions to $y^2 = x^3 + A(t)x + B(t) \bmod p$.

Number Theory

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