We study the Frobenius problem for certain k-tuplets, which include prime k-tuplets, in particular prime triplets and prime quadruplets. Moreover, we analyze some properties of the numerical semigroups associated with these tuplets.Comment: 45 pages; added a section with new cases; typos correcte
Abstract. In this paper we extended the operations +, × on natural numbers to on finite sets of natu...
We thank the anonymous referees for their detailed suggestions and comments, which have greatly imp...
Let $0Frobenius number $g(a,b)=ab-a-b$. In this note, we prove that there exists a prime number $p\i...
Electronic version of an article published as International Journal of Number Theory, 2017, Vol. 13...
We characterise the numerical semigroups with a monotone Ap\'ery set (MANS-semigroups for abbreviate...
Given a number field $K$ that is a subfield of the real numbers, we generalize the notion of the cla...
We study the extended Frobenius problem for sequences of the form $\{l_a\}\cup\{l_a+l_n\}_{n\in\math...
AbstractIn this paper, we characterize those numerical semigroups containing 〈n1,n2〉. From this char...
Let p(1) = 2, p(2) = 3, p(3) = 5,. be the consecutive prime numbers, S-n the numerical semigroup gen...
Let p(1) = 2, p(2) = 3, p(3) = 5,. be the consecutive prime numbers, S-n the numerical semigroup gen...
Let $S=\left\langle s_1,\ldots,s_n\right\rangle$ be a numerical semigroup generated by the relativel...
Both authors are supported by the Project MTM2017-84890-P (funded by Ministerio de Economía, Industr...
In this paper, we characterize those numerical semigroups containing n1,n2 . From this characteriza...
summary:We present an algorithm for computing the greatest integer that is not a solution of the mod...
summary:We present an algorithm for computing the greatest integer that is not a solution of the mod...
Abstract. In this paper we extended the operations +, × on natural numbers to on finite sets of natu...
We thank the anonymous referees for their detailed suggestions and comments, which have greatly imp...
Let $0Frobenius number $g(a,b)=ab-a-b$. In this note, we prove that there exists a prime number $p\i...
Electronic version of an article published as International Journal of Number Theory, 2017, Vol. 13...
We characterise the numerical semigroups with a monotone Ap\'ery set (MANS-semigroups for abbreviate...
Given a number field $K$ that is a subfield of the real numbers, we generalize the notion of the cla...
We study the extended Frobenius problem for sequences of the form $\{l_a\}\cup\{l_a+l_n\}_{n\in\math...
AbstractIn this paper, we characterize those numerical semigroups containing 〈n1,n2〉. From this char...
Let p(1) = 2, p(2) = 3, p(3) = 5,. be the consecutive prime numbers, S-n the numerical semigroup gen...
Let p(1) = 2, p(2) = 3, p(3) = 5,. be the consecutive prime numbers, S-n the numerical semigroup gen...
Let $S=\left\langle s_1,\ldots,s_n\right\rangle$ be a numerical semigroup generated by the relativel...
Both authors are supported by the Project MTM2017-84890-P (funded by Ministerio de Economía, Industr...
In this paper, we characterize those numerical semigroups containing n1,n2 . From this characteriza...
summary:We present an algorithm for computing the greatest integer that is not a solution of the mod...
summary:We present an algorithm for computing the greatest integer that is not a solution of the mod...
Abstract. In this paper we extended the operations +, × on natural numbers to on finite sets of natu...
We thank the anonymous referees for their detailed suggestions and comments, which have greatly imp...
Let $0Frobenius number $g(a,b)=ab-a-b$. In this note, we prove that there exists a prime number $p\i...