Geometry of continued fractions associated with Frobenius numbers

DOI10.1007/s11853-008-0021-4zbMath1201.11009OpenAlexW2003310825MaRDI QIDQ1035288

Vladimir I. Arnold

Publication date: 2 November 2009

Published in: Functional Analysis and Other Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11853-008-0021-4

zbMATH Keywords

convex hullsWeyl chamberadditive semigroupsDiophantine asymptotics

Mathematics Subject Classification ID

Commutative semigroups (20M14) Continued fractions (11A55) The Frobenius problem (11D07)

Related Items (4)

On numerical experiments with symmetric semigroups generated by three elements and their generalization. ⋮ The Frobenius number in the set of numerical semigroups with fixed multiplicity and genus ⋮ Frobenius problem for semigroups \(\mathbf S(d_1,d_2,d_3)\). ⋮ Geometric proof of Rødseth's formula for Frobenius numbers

Cites Work

• Geometry and growth rate of Frobenius numbers of additive semigroups
• Weak asymptotics for the numbers of solutions of Diophantine problems

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