On the determination of generalized Gauss sums

J. W. S. Cassels

Archivum Mathematicum (1969)

  • Volume: 005, Issue: 2, page 79-84
  • ISSN: 0044-8753

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Cassels, J. W. S.. "On the determination of generalized Gauss sums." Archivum Mathematicum 005.2 (1969): 79-84. <http://eudml.org/doc/15857>.

@article{Cassels1969,
author = {Cassels, J. W. S.},
journal = {Archivum Mathematicum},
language = {eng},
number = {2},
pages = {79-84},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the determination of generalized Gauss sums},
url = {http://eudml.org/doc/15857},
volume = {005},
year = {1969},
}

TY - JOUR
AU - Cassels, J. W. S.
TI - On the determination of generalized Gauss sums
JO - Archivum Mathematicum
PY - 1969
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 005
IS - 2
SP - 79
EP - 84
LA - eng
UR - http://eudml.org/doc/15857
ER -

References

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  1. C. F. Gauss, Disquisitiones Arithmeticae, (Lipsiae, 1801) (= Werke, Bd. 1). Zbl1167.11001
  2. C. F. Gauss, Summatio quarundarum serierum singularium, Commentationes societatis regiae scientiarum Gottingensis recentiores 1 (MDCCCXI). (= Werke, Bd. 2, 9-45). 
  3. H. Hasse, Vorlesungen über Zahlentheorie, (2. Auflage, Berlin, 1964). (1964) Zbl0123.04201MR0188128
  4. E. E. Kummer, Eine Aufgabe betreffend die Theorie der cubischen Reste, J. reine angew. Math. 23 (1842), 285-286. 
  5. E. E. Kummer, De residuis cubicis disquisitiones nonnullae analyticae, J. reine angew. Math. 32 (1846), 341-359. 
  6. E. Lehmeг, On the location of Gauss sums, Mathematics of Computation 10 (1956), 194-202. (1956) MR0086092
  7. G. B. Mathews, Theory of Numbers, (Cambridge, Deighton Bell, 1892). 
  8. J. von Neumann, H. H. Goldstine., A numerical study of a conjecture by Kummer, Mathematics of Computation 7 (1953), 133-134. (1953) MR0055784
  9. A. И. Bинoгpaдoв., O кyбичecкoй cуммe Гaycca, Пзвecтия Aкaд. Hayк CCCP (cep. мaт.) 31 (1967), 123-148 (added in proof: but see also 33 1969), 455). (1967) 

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