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math.NT2022
Large Algebraic Integers
Denis Simon, Lea Terracini
An algebraic integer is said large if all its real or complex embeddings have absolute value larger than . An integral ideal is said \emph{large} if it admits a large generator.…
math.NT2022
Computing the trace of an algebraic point on an elliptic curve
Nicolas Mascot, Denis Simon
We present a simple and efficient algorithm to compute the sum of the algebraic conjugates of a point on an elliptic curve.