CANTOR POLYNOMIALS FOR SEMIGROUP SECTORS

DOI10.1142/S021949881350165XzbMath1290.05010arXiv1305.2538MaRDI QIDQ5420516

Melvyn B. Nathanson

Publication date: 13 June 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2538

zbMATH Keywords

recursion theoryquasi-polynomiallattice point enumerationmulti-dimensional arrayspacking polynomialCantor polynomialcone semigroup

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Other combinatorial number theory (11B75) Complexity of computation (including implicit computational complexity) (03D15) Recursive functions and relations, subrecursive hierarchies (03D20) Representation functions (11B34)

Related Items (4)

Non-injectivity of Nonzero Discriminant Polynomials and Applications to Packing Polynomials ⋮ Packing polynomials on irrational sectors ⋮ Cantor Polynomials and the Fueter-Pólya Theorem ⋮ Packing polynomials on multidimensional integer sectors

Cites Work

• Polynomial indexing of integer lattice-points. I. General conceopts and quadratic polynomials
• Polynomial indexing of integer lattice-points. II. Nonexistence results for higher-degree polynomials
• Diagonal polynomials and diagonal orders on multidimensional lattices
• A family of asymptotically \(e(n-1)!\) polynomial orders of \(N^n\)
• The diagonal polynomials of dimension four
• A family of \((n-1)!\) diagonal polynomial orders of \(N^ n\)
• Polynomial enumeration of multidimensional lattices
• An enlarged family of packing polynomials on multidimensional lattices
• Diagonal polynomials for small dimensions

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