On the determination of generalized Gauss sums
Cassels, J. W. S.
Archivum Mathematicum, Tome 005 (1969), p. 79-84 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1969-01-01
Classification:  11L05 
@article{104683,
     author = {J. W. S. Cassels},
     title = {On the determination of generalized Gauss sums},
     journal = {Archivum Mathematicum},
     volume = {005},
     year = {1969},
     pages = {79-84},
     zbl = {0233.10018},
     mrnumber = {0294266},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104683}
}

Cassels, J. W. S. On the determination of generalized Gauss sums. Archivum Mathematicum, Tome 005 (1969) pp. 79-84. http://gdmltest.u-ga.fr/item/104683/

C. F. Gauss Disquisitiones Arithmeticae, (Lipsiae, 1801) (= Werke, Bd. 1). | Zbl 1167.11001

C. F. Gauss Summatio quarundarum serierum singularium, Commentationes societatis regiae scientiarum Gottingensis recentiores 1 (MDCCCXI). (= Werke, Bd. 2, 9-45).

H. Hasse Vorlesungen über Zahlentheorie, (2. Auflage, Berlin, 1964). (1964) | MR 0188128 | Zbl 0123.04201

E. E. Kummer Eine Aufgabe betreffend die Theorie der cubischen Reste, J. reine angew. Math. 23 (1842), 285-286.

E. E. Kummer De residuis cubicis disquisitiones nonnullae analyticae, J. reine angew. Math. 32 (1846), 341-359.

E. Lehmeг On the location of Gauss sums, Mathematics of Computation 10 (1956), 194-202. (1956) | MR 0086092

G. B. Mathews Theory of Numbers, (Cambridge, Deighton Bell, 1892).

J. Von Neumann; H. H. Goldstine. A numerical study of a conjecture by Kummer, Mathematics of Computation 7 (1953), 133-134. (1953) | MR 0055784

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)