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math.NT2026
Affine monodromy and exact value distributions over finite fields
David Kumallagov
We study finite field value distributions through the fixed-point statistics of monodromy groups. For a regular degree-\(n\) cover, omitted values are controlled by derangements. T…
math.NT2026
Exact output statistics of Icart's encoding in the exceptional \(j=0\) case
David Kumallagov
Icart's encoding is a classical deterministic map from finite fields to elliptic curves and a basic ingredient in early hash-to-curve constructions. We determine the exact one-outp…