| Title:
|
On the determination of generalized Gauss sums (English) |
| Author:
|
Cassels, J. W. S. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
5 |
| Issue:
|
2 |
| Year:
|
1969 |
| Pages:
|
79-84 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11L05 |
| idZBL:
|
Zbl 0233.10018 |
| idMR:
|
MR0294266 |
| . |
| Date available:
|
2008-06-05T17:54:01Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104683 |
| . |
| Reference:
|
[1] C. F. Gauss: Disquisitiones Arithmeticae.(Lipsiae, 1801) (= Werke, Bd. 1). Zbl 1167.11001 |
| Reference:
|
[2] C. F. Gauss: Summatio quarundarum serierum singularium.Commentationes societatis regiae scientiarum Gottingensis recentiores 1 (MDCCCXI). (= Werke, Bd. 2, 9-45). |
| Reference:
|
[3] H. Hasse: Vorlesungen über Zahlentheorie.(2. Auflage, Berlin, 1964). Zbl 0123.04201, MR 0188128 |
| Reference:
|
[4] E. E. Kummer: Eine Aufgabe betreffend die Theorie der cubischen Reste.J. reine angew. Math. 23 (1842), 285-286. |
| Reference:
|
[5] E. E. Kummer: De residuis cubicis disquisitiones nonnullae analyticae.J. reine angew. Math. 32 (1846), 341-359. |
| Reference:
|
[6] E. Lehmeг: On the location of Gauss sums.Mathematics of Computation 10 (1956), 194-202. MR 0086092 |
| Reference:
|
[7] G. B. Mathews: Theory of Numbers.(Cambridge, Deighton Bell, 1892). |
| Reference:
|
[8] J. von Neumann, H. H. Goldstine. : A numerical study of a conjecture by Kummer.Mathematics of Computation 7 (1953), 133-134. MR 0055784 |
| Reference:
|
[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). |
| . |