The Cyclotomic Numbers of Order Seven

DOI10.2307/2040311zbMath0311.12008OpenAlexW4232137654MaRDI QIDQ4068835

Kenneth S. Williams, Philip A. Leonard

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2040311

Mathematics Subject Classification ID

Trigonometric and exponential sums (general theory) (11L03) Linear Diophantine equations (11D04) Cyclotomy (11T22) Power residues, reciprocity (11A15)

Related Items (9)

Invertible binary matrices with maximum number of \(2\)-by-\(2\) invertible submatrices ⋮ On principal ideal testing in algebraic number fields ⋮ The Cyclotomic Numbers of Order Sixteen ⋮ A new criterion for 7 to be a fourth power (mod p) ⋮ Uniform cyclotomy ⋮ Cyclotomic Numbers and Jacobi Sums: A Survey ⋮ On the Number of Zeros of Diagonal Forms ⋮ Unnamed Item ⋮ Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods

Cites Work

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• The septic character of \(2, 3, 5\) and \(7\)
• On the number of solutions of \(u^k+D\equiv w^2 \pmod p\)
• The Cyclotomic Numbers of Order Sixteen
• The cyclotomic numbers of order twelve
• Cyclotomy and Trinomial Congruences
• Cyclotomy, Higher Congruences, and Waring's Problem
• The cyclotomic numbers of order fourteen
• The Cyclotomic Numbers of Order Eighteen with Applications to Difference Sets
• The cyclotomic numbers of order twenty
• Cyclotomy When e Is Composite
• Theorems on Quadratic Partitions

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