Lehmer's semi-symmetric cyclotomic sums

Andrew J.S. Lazarus

Acta Arithmetica (1992)

  • Volume: 62, Issue: 3, page 221-227
  • ISSN: 0065-1036

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Andrew J.S. Lazarus. "Lehmer's semi-symmetric cyclotomic sums." Acta Arithmetica 62.3 (1992): 221-227. <http://eudml.org/doc/206490>.

@article{AndrewJ1992,
author = {Andrew J.S. Lazarus},
journal = {Acta Arithmetica},
keywords = {cyclotomic sums; Gaussian periods},
language = {eng},
number = {3},
pages = {221-227},
title = {Lehmer's semi-symmetric cyclotomic sums},
url = {http://eudml.org/doc/206490},
volume = {62},
year = {1992},
}

TY - JOUR
AU - Andrew J.S. Lazarus
TI - Lehmer's semi-symmetric cyclotomic sums
JO - Acta Arithmetica
PY - 1992
VL - 62
IS - 3
SP - 221
EP - 227
LA - eng
KW - cyclotomic sums; Gaussian periods
UR - http://eudml.org/doc/206490
ER -

References

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  1. [1] P. Bachmann, Die Lehre von der Kreisteilung, Teubner, Leipzig 1927. Zbl53.0124.01
  2. [2] L. E. Dickson, Cyclotomy, higher congruences, and Waring's problem, Amer. J. Math. 57 (1935), 391-424. Zbl0012.01203
  3. [3] H. Hasse, Arithmetische Bestimmung von Grundeinheit und Klassenzahl in zyklischen kubischen und biquadratischen Zahlkörpern, in: Mathematische Abhandlungen, Vol. 3, Walter deGruyter, Berlin 1975 (originally published 1950), 285-379. 
  4. [4] S. A. Katre and A. R. Rajwade, Complete solution of the cyclotomic problem in F q for any prime modulus l , q = p α , p ≡ 1 (mod l), Acta Arith. 45 (1985), 183-199. Zbl0525.12015
  5. [5] S. A. Katre and A. R. Rajwade, Unique determination of cyclotomic numbers of order five, Manuscripta Math. 53 (1985), 65-75. Zbl0577.12014
  6. [6] E. Lehmer, On Euler's criterion, J. Austral. Math. Soc. 1 (1959), 64-70. Zbl0090.25904
  7. [7] T. Storer, Cyclotomy and Difference Sets, Markham, Chicago 1967. Zbl0157.03301

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