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Title: On the Diophantine equation $k/n=a_1/x_1+a_2/x_2+a_3/x_3$ (English)
Author: Webb, William A.
Language: English
Journal: Časopis pro pěstování matematiky
ISSN: 0528-2195
Volume: 101
Issue: 4
Year: 1976
Pages: 360-365
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Category: math
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MSC: 11D85
idZBL: Zbl 0337.10012
idMR: MR0444564
DOI: 10.21136/CPM.1976.117932
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Date available: 2009-09-23T08:46:03Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/117932
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Reference: [1] M. N. Bteicher: A new algorithm for tћe expansion of Egyptian fractions.J. of Number Theory, 4 (1972), 342-382. MR 0323696
Reference: [2] Q. M. Hardy, E. M. Wright: An Introduction to the Theory of Numbers.London, (1960). Zbl 0086.25803
Reference: [3] G. Palamd: Su di una congettura di Schinzel.Boll. Un. Mat. Ital. 14 (J959), 82-94. MR 0117207
Reference: [4] J. Sedláček: Über die Stammbrüche.Časopis Pěst. Mat. 84 (1959), 188-197. MR 0123504
Reference: [5] W. Sierpinski: Sur les decomponitions des nombres rationnels en fractions primaries.Mathesis, 65 (1956), 16-32. MR 0078385
Reference: [6] B. M. Stewart, W. A. Webb: Sums of fractions with bounded numerators.Canadian J. Math., 18 (1969), 999-1003. MR 0199148
Reference: [7] W. A. Webb: Rationals not expressible as a sum of three unit fractions.Elemente der Math., 29 (1974), 1-6. Zbl 0272.10012, MR 0330030
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