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math.NT2026
A closed formula for the Geil-Matsumoto bound on numerical semigroups via Apéry sets
Adler Marques, Erik Mendoza, Luciane Quoos +1
The Geil-Matsumoto bound (GM bound) constrains the number of rational points on a curve over a finite field in terms of the Weierstrass semigroup of any of the points on the curve.…
math.NT2026
On planar functions over
João Paulo Guardieiro, Adler Marques, Luciane Quoos +1
Let denote the finite field of order . For odd, we investigate the planarity over of the family $$ f_{E,A,B,C,D}(X) := EX^2+ AX^{q+1}+ BX^{…