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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
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Category: math
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MSC: 11L05
idZBL: Zbl 0233.10018
idMR: MR0294266
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Date available: 2008-06-05T17:54:01Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/104683
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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).
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