Unique determination of cyclotomic numbers of order five

DOI10.1007/BF01174011zbMath0577.12014OpenAlexW2056994593MaRDI QIDQ1065868

S. A. Katre, A. R. Rajwade

Publication date: 1985

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155089

zbMATH Keywords

cyclotomic numbers

Mathematics Subject Classification ID

Cyclotomy (11T22)

Related Items (6)

EULER'S CRITERION FOR SEPTIC NONRESIDUES ⋮ Explicit lifts of quintic Jacobi sums and period polynomials for \(\mathbb F_q\) ⋮ Multiplicative quadratic forms on algebraic varieties. ⋮ Cyclotomic Numbers and Jacobi Sums: A Survey ⋮ Cyclotomy and Delta Units ⋮ Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods

Cites Work

• Complete solution of the cyclotomic problem in $F_q$ for any prime modulus $l, q = p^α, p ≡ 1 (mod l)$
• Jacobi sums and cyclotomic numbers for a finite field
• Cyclotomy, Higher Congruences, and Waring's Problem

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