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math.NT2022★ 1 cited
Counting points on abelian surfaces over finite fields with Elkies's method
Jean Kieffer
We generalize Elkies's method, an essential ingredient in the SEA algorithm to count points on elliptic curves over finite fields of large characteristic, to the setting of p.p. ab…
math.NA2022
Certified Newton schemes for the evaluation of low-genus theta functions
Jean Kieffer
Theta functions and theta constants in low genus, especially genus 1 and 2, can be evaluated at any given point in quasi-linear time in the required precision using Newton schemes…