Derives half-closed form formulas for the Frobenius number and genus of quotients of numerical semigroups, with explicit formulas for specific parameter values.
Cabanillas,Quotients of numerical semigroups generated by two numbers, arXiv:1904.082402v2
2 Pith papers cite this work. Polarity classification is still indexing.
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Reduces Apéry set of semigroup quotients to minimization when p divides a1, giving closed Frobenius formulas for almost arithmetic progression generators and partially solving a prior open problem.
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The Frobenius problem for a class of quotients of numerical semigroups
Derives half-closed form formulas for the Frobenius number and genus of quotients of numerical semigroups, with explicit formulas for specific parameter values.
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On quotients of numerical semigroups for almost arithmetic progressions
Reduces Apéry set of semigroup quotients to minimization when p divides a1, giving closed Frobenius formulas for almost arithmetic progression generators and partially solving a prior open problem.