Fixed Divisor of a Multivariate Polynomial and Generalized Factorials in Several Variables

zbMath1405.13039arXiv1803.05780MaRDI QIDQ4561665

Devendra Prasad Semwal, A. Satyanarayana Reddy, Krishnan Rajkumar

Publication date: 12 December 2018

Full work available at URL: https://arxiv.org/abs/1803.05780

zbMATH Keywords

multivariate polynomialsfixed divisor\(v\)-orderingsgeneralized factorial

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (6)

A generalization of Selfridge's question ⋮ Bhargava factorials and irreducibility of integer-valued polynomials ⋮ On the Bhargava factorial of polynomial maps ⋮ Irreducibility of integer-valued polynomials in several variables ⋮ A survey on fixed divisors ⋮ Irreducibility of integer-valued polynomials I

Cites Work

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• P-orderings and polynomial functions on arbitrary subsets of Dedekind rings.
• Subsets of ℤ with Simultaneous Orderings
• Polynomes a Valeurs Entieres

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