Polynomials of degree 4 over finite fields representing quadratic residues

DOI10.26493/2590-9770.1330.993zbMath1439.11289OpenAlexW2999369955WikidataQ126354214 ScholiaQ126354214MaRDI QIDQ5210619

Dragan Marušič, Klavdija Kutnar, Shao-Fei Du

Publication date: 21 January 2020

Published in: The Art of Discrete and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/2590-9770.1330.993

zbMATH Keywords

finite fieldpolynomialquadratic residues

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (3)

On polynomials of small degree over finite fields representing quadratic residues ⋮ Resolving the Hamiltonian problem for vertex-transitive graphs of order a product of two primes ⋮ Class number problem for a family of real quadratic fields

Cites Work

• Lifting Hamilton cycles of quotient graphs
• Hamilton cycles and paths in vertex-transitive graphs-current directions
• Hamiltonian circuits in Cayley graphs
• Edge partitions of the complete symmetric directed graph and related designs
• Polynomials that represent quadratic residues at primitive roots
• Transitive Permutation Groups Without Semiregular Subgroups
• Semiregular automorphisms in vertex-transitive graphs with a solvable group of automorphisms
• Arc-transitive cyclic and dihedral covers of pentavalent symmetric graphs of order twice a prime
• Arc-transitive graphs of valency 8 have a semiregular automorphism
• Research problems
• Unnamed Item

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