Geodesic
On the determination of generalized Gauss sums
Archivum mathematicum, Tome 5 (1969) no. 2, pp. 79-84 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11L05 
@article{ARM_1969_5_2_a2,
     author = {Cassels, J. W. S.},
     title = {On the determination of generalized {Gauss} sums},
     journal = {Archivum mathematicum},
     pages = {79--84},
     year = {1969},
     volume = {5},
     number = {2},
     mrnumber = {0294266},
     zbl = {0233.10018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1969_5_2_a2/}
}
TY  - JOUR
AU  - Cassels, J. W. S.
TI  - On the determination of generalized Gauss sums
JO  - Archivum mathematicum
PY  - 1969
SP  - 79
EP  - 84
VL  - 5
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ARM_1969_5_2_a2/
LA  - en
ID  - ARM_1969_5_2_a2
ER  - 
%0 Journal Article
%A Cassels, J. W. S.
%T On the determination of generalized Gauss sums
%J Archivum mathematicum
%D 1969
%P 79-84
%V 5
%N 2
%U http://geodesic.mathdoc.fr/item/ARM_1969_5_2_a2/
%G en
%F ARM_1969_5_2_a2
Cassels, J. W. S. On the determination of generalized Gauss sums. Archivum mathematicum, Tome 5 (1969) no. 2, pp. 79-84. http://geodesic.mathdoc.fr/item/ARM_1969_5_2_a2/

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

[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). | MR | Zbl

[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. | MR

[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. | MR

[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).