Manuscript, certified computations and data for "Recovering the level of distribution x^{1/2} for the orders of y² = x³ − x modulo p": the Iwaniec–Jiménez Urroz P₂ theorem holds as stated, and Xie's prime-power bounds improve to P₃ and ⌊2.05(ℓ−1)+1.2⌋.
python latex reproducible-research mathematics elliptic-curves interval-arithmetic number-theory complex-multiplication analytic-number-theory gaussian-integers sieve-methods almost-primes bombieri-vinogradov level-of-distribution chen-theorem koblitz-conjecture
-
Updated
Oct 17, 2026 - TeX