Katre, S. A.; Rajwade, A. R. Unique determination of cyclotomic numbers of order five. (English) Zbl 0577.12014 Manuscr. Math. 53, 65-75 (1985). The authors give a complete solution to the problem of determining the cyclotomic numbers of order five over a finite field with \(p^ a\) elements, where \(a\geq 1\) and p is a prime congruent to 1 modulo 5. Reviewer: K.S.Williams Cited in 6 Documents MSC: 11T22 Cyclotomy Keywords:cyclotomic numbers PDFBibTeX XMLCite \textit{S. A. Katre} and \textit{A. R. Rajwade}, Manuscr. Math. 53, 65--75 (1985; Zbl 0577.12014) Full Text: DOI EuDML References: [1] DICKSON, L.E.: Cyclotomy, higher congruences, and Waring’s problem. Amer. J. Math. 57 (1935), 391-424 · Zbl 0012.01203 · doi:10.2307/2371217 [2] KATRE, S.A. and RAJWADE, A.R.: Complete solution of the cyclotomic problem inF q for any prime modulus 1, q=p?, p?1 (mod 1). Acta Arith. (to appear in Nr. 45) · Zbl 0525.12015 [3] PARNAMI, J.C., AGRAWAL, M.K. and RAJWADE, A.R.: Jacobi sums and cyclotomic numbers for a finite field. Acta Arith. 41 (1982), 1-13 · Zbl 0491.12019 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.