Proportionally modular diophantine inequalities and the Stern-Brocot tree

DOI10.1090/S0025-5718-08-02173-XzbMath1208.11049OpenAlexW2027021672WikidataQ58842665 ScholiaQ58842665MaRDI QIDQ3055142

Manuel Bullejos, José Carlos Rosales

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02173-x

zbMATH Keywords

Diophantine inequalitiesnumerical semigroupStern-Brocot tree

Mathematics Subject Classification ID

Commutative semigroups (20M14) Diophantine inequalities (11D75)

Related Items (7)

Proportionally modular numerical semigroups generated by arithmetic progressions ⋮ Affine convex body semigroups. ⋮ WHEN IS A NUMERICAL SEMIGROUP A QUOTIENT? ⋮ On proportionally modular numerical semigroups of embedding dimension three ⋮ The maximum proportionally modular numerical semigroup with given multiplicity and ratio. ⋮ OPENED MODULAR NUMERICAL SEMIGROUPS WITH A GIVEN MULTIPLICITY ⋮ The n-dimensional Stern–Brocot tree

Cites Work

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• Proportionally modular Diophantine inequalities.
• Complexity of the Frobenius problem
• The set of solutions of a proportionally modular Diophantine inequality
• The smallest positive integer that is solution of a proportionally modular Diophantine inequality

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