A diophantine system of Dickson

Philip A. Leonard; Kenneth S. Williams

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1974)

  • Volume: 56, Issue: 2, page 145-150
  • ISSN: 0392-7881

How to cite

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Leonard, Philip A., and Williams, Kenneth S.. "A diophantine system of Dickson." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 56.2 (1974): 145-150. <http://eudml.org/doc/293670>.

@article{Leonard1974,
author = {Leonard, Philip A., Williams, Kenneth S.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {2},
number = {2},
pages = {145-150},
publisher = {Accademia Nazionale dei Lincei},
title = {A diophantine system of Dickson},
url = {http://eudml.org/doc/293670},
volume = {56},
year = {1974},
}

TY - JOUR
AU - Leonard, Philip A.
AU - Williams, Kenneth S.
TI - A diophantine system of Dickson
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1974/2//
PB - Accademia Nazionale dei Lincei
VL - 56
IS - 2
SP - 145
EP - 150
LA - eng
UR - http://eudml.org/doc/293670
ER -

References

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  1. DICKSON, L. E., Cyclotomy, higher congruences, and Waring's problem, I, II, «Amer. J. Math.», 57, 391-424, 463-474 (1935). Zbl61.0175.01MR1507087DOI10.2307/2371178
  2. DICKSON, L. E., Cyclotomy and trinomial congruences, «Trans. Amer. Math. Soc.», 37, 363-380 (1935). Zbl61.0175.03MR1501791DOI10.2307/1989714
  3. DICKSON, L. E., Cyclotomy when e is composite, «Trans. Amer. Math. Soc.», 38, 187-200 (1935). Zbl61.0175.04MR1501808DOI10.2307/1989680
  4. IRELAND, K. and ROSEN, M. I., Elements of Number Theory, Bogden and Quigley, Tarrytown, New York, 1972. Zbl0248.10002
  5. LEHMER, E., Abstract: On the quintic character of 2, «Bull. Amer. Math. Soc.», 55, 62-63 (1949). 
  6. LEONARD, P. A. and WILLIAMS, K. S., The cyclotomic numbers of order seven, «Proc. Amer. Math. Soc.», to appear. MR371868DOI10.2307/2040311
  7. LEONARD, P. A. and WILLIAMS, K. S., The septic character of 2,3,5 and 7, «Pacific J. Math.», to appear. Zbl0265.10004MR364064
  8. STORER, T., Cyclotomy and difference sets, Chicago, Markham, 1967. Zbl0157.03301MR217033
  9. UCHIDA, K., Class numbers of imaginary abelian number fields, III, «Tohoku Math. J.», II Series, 23, 573-580 (1971). Zbl0241.12002MR288097DOI10.2748/tmj/1178242545
  10. WHITEMAN, A. L., Cyclotomy and Jacobsthal sums, «Amer. J. Math.», 74, 89-99 (1952). Zbl0046.26803MR45758DOI10.2307/2372071

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