2 papers
math.NT2020
Primes in numerical semigroups
Jorge L. Ramirez Alfonsin, Mariusz Skalba
Let 0 < a < b be two relatively prime integers and let <a,b> be the numerical semigroup generated by a and b with Frobenius number g(a,b)=ab-a-b. In this note, we prove that there…
math.NT2019
Pairs of Pythagorean triangles with given catheti ratios
M. Skałba, M. Ulas
In this note we investigate the problem of finding pairs of Pythagorean triangles , with given catheti ratios . In particular, we prove that there a…