On polynomial functions from \(\mathbb{Z}_ n\) to \(\mathbb{Z}_ m\)

DOI10.1016/0012-365X(93)E0162-WzbMath0849.11028MaRDI QIDQ1343780

Zhibo Chen

Publication date: 12 November 1996

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

polynomial functionsresidue classes

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Special sequences and polynomials (11B83) Representation functions (11B34)

Related Items (16)

On polynomial functions from \(\mathbb{Z}_{n_ 1}\times \mathbb{Z}_{n_ 2}\times \cdots \times \mathbb{Z}_{n_ r}\) to \(\mathbb{Z}_ m\) ⋮ Congruence preservation and polynomial functions from \(\mathbb{Z}_n\) to \(\mathbb{Z}_m\) ⋮ Bhargava’s Early Work: The Genesis of <em>P</em>-Orderings ⋮ Fast and Simple Modular Interpolation Using Factorial Representation ⋮ Arithmetical Congruence Preservation: From Finite to Infinite ⋮ On polynomial functions Modulo \(p^e\) and faster bootstrapping for homomorphic encryption ⋮ Polyfunctions over commutative rings ⋮ Polynomial functions over dual numbers of several variables ⋮ Polynomial analogue of the Smarandache function ⋮ Permutation polynomials and their differential properties over residue class rings ⋮ Unnamed Item ⋮ Congruence preserving functions in the residue class rings of polynomials over finite fields ⋮ Polynomial functions in the residue class rings of Dedekind domains ⋮ A survey on fixed divisors ⋮ A faster algorithm for testing polynomial representability of functions over finite integer rings ⋮ The ring of polyfunctions over Z/nZ

Cites Work

• Isomorphisms of cyclic combinatorial objects
• Lifting Hamilton cycles of quotient graphs
• The Hamiltonian property of generalized de Bruijn digraphs
• A-cordial graphs
• On the numbers of spanning trees and Eulerian tours in generalized de Bruijn graphs
• Isomorphism of circulant graphs and digraphs
• Sur les systèmes cycliques de triples de Steiner différents pour \(N\) premier (ou puissance de nombre premier) de la forme \(6n+1\). VI
• Isomorphism problem for relational structures with a cyclic automorphism
• On polynomial functions (mod m)
• Counting polynomial functions \(\pmod{p^ n}\)
• Algebraisch-zahlentheoretische Betrachtungen über Ringe. II
• Design to Minimize Diameter on Building-Block Network
• On Additive Bases and Harmonious Graphs
• Functions and polynomials ($mod p^n$)

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