Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve

In this paper we determine the generalized Weierstrass semigroup H ^ ( P ∞ , P 1 , … , P m ) , and consequently the Weierstrass semigroup H ( P ∞ , P 1 , … , P m ) , at m + 1 points on the curves X a , b , n , s and Y n , s . These curves has been introduced in Tafazolian et al (J Pure Appl Algebra 220:1122–1132, 2016) as new examples of curves which cannot be covered by the Hermitian curve.