RAMÍREZ ALFONSÍN , Jorge Luis

In this paper we use an elementary approach by using numerical semigroups (specifically, those with two generators) to give a formula for the number of integral points inside a right-angled triangle with rational vertices. This is the basic case for computing the number of integral points inside a rational (not necessarily convex) polygon.

In this paper we compute the Frobenius number of certain Fibonacci numerical semigroups, that is, numerical semigroups generated by a set of Fibonacci numbers, in terms of Fibonacci numbers.