APPLICATIONS OF LERCH’S THEOREM TO PERMUTATIONS OF QUADRATIC RESIDUES

DOI10.1017/S000497271900073XzbMath1469.11007OpenAlexW2959960391WikidataQ127530512 ScholiaQ127530512MaRDI QIDQ5244191

Hai-Liang Wu, Li-Yuan Wang

Publication date: 20 November 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497271900073x

zbMATH Keywords

permutationprimitive rootquadratic residueLerch's theoremZolotarev's lemma

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Quadratic extensions (11R11) Other combinatorial number theory (11B75) Congruences; primitive roots; residue systems (11A07) Power residues, reciprocity (11A15)

Related Items (3)

A remark on Zolotarev’s theorem ⋮ CUBES IN FINITE FIELDS AND RELATED PERMUTATIONS ⋮ Permutations involving squares in finite fields

Uses Software

• MathOverflow

Cites Work

• Unnamed Item
• Contests in higher mathematics. Miklós Schweitzer competitions 1962-1991
• Extending the Zolotarev-Frobenius approach to quadratic reciprocity
• The Congruence (p - 1/2)! ≡± 1 (mod p)
• A remark on Zolotarev’s theorem

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