The Cyclotomic Numbers of Order Eighteen with Applications to Difference Sets

DOI10.2307/2004161zbMath0154.29302OpenAlexW4233668075MaRDI QIDQ5535016

Harold Fredricksen, L. D. Baumert

Publication date: 1967

Full work available at URL: https://doi.org/10.2307/2004161

zbMATH Keywords

number theory

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Sharply flag-transitive projective planes and power residue difference sets, The Cyclotomic Numbers of Order Sixteen, A conjecture on the existence of cyclic Hadamard difference sets, On Jacobi Sums of Certain Composite Orders, Computation of Jacobi sums of orders \(l^2\) and \(2l^2\) with odd prime \(l\), Uniform cyclotomy, The Jacobi Sums of Order Twenty-Two, Cyclotomic Numbers and Jacobi Sums: A Survey, Cyclotomic difference sets in finite fields, Complexities of normal bases constructed from Gauss periods, Lam's power residue addition sets, On the Number of Zeros of Diagonal Forms, Powers of cyclotomic integers and difference sets, A combinatorial problem in finite fields. I, Upper bounds for cyclotomic numbers, The Cyclotomic Numbers of Order Seven, A note on power residue difference sets, Exhaustive determination of (1023, 511, 255)-cyclic difference sets

Cites Work

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• On the number of solutions of \(u^k+D\equiv w^2 \pmod p\)
• A Survey of Difference Sets
• The Cyclotomic Numbers of Order Sixteen
• The cyclotomic numbers of order twelve
• Cyclotomy and Trinomial Congruences
• Cyclotomy, Higher Congruences, and Waring's Problem
• On Multipliers of Difference Sets
• The cyclotomic numbers of order fourteen
• Cyclotomy When e Is Composite
• On Residue Difference Sets