Title:
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Lower bounds for simultaneous Diophantine approximation constants (English) |
Author:
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Nowak, Werner Georg |
Language:
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English |
Journal:
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Communications in Mathematics |
ISSN:
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1804-1388 |
Volume:
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22 |
Issue:
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1 |
Year:
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2014 |
Pages:
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71-76 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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After a brief exposition of the state-of-art of research on the (Euclidean) simultaneous Diophantine approximation constants $\theta _s$, new lower bounds are deduced for $\theta _6$ and $\theta _7$. (English) |
Keyword:
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geometry of numbers |
Keyword:
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Diophantine approximation |
Keyword:
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approximation constants |
Keyword:
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critical determinant |
MSC:
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11H16 |
MSC:
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11J13 |
idZBL:
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Zbl 06359724 |
idMR:
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MR3233728 |
. |
Date available:
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2014-08-27T09:02:11Z |
Last updated:
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2020-01-05 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/143907 |
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Reference:
|
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Reference:
|
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Reference:
|
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Reference:
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Reference:
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Reference:
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Reference:
|
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Reference:
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[8] Mordell, L.J.: The product of three homogeneous linear ternary forms.J. London Math. Soc., 17, 1942, 107-115, Zbl 0028.11205, MR 0007404, 10.1112/jlms/s1-17.2.107 |
Reference:
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Reference:
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Reference:
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[11] Niven, I., Zuckerman, H.S.: Einführung in die Zahlentheorie.1975, Bibliograph. Inst., Mannheim, |
Reference:
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[12] Nowak, W.G.: On simultaneous Diophantine approximation.Rend. Circ. Mat. Palermo, Ser. II, 33, 1984, 456-460, Zbl 0535.10036, MR 0779948 |
Reference:
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[13] Nowak, W.G.: The critical determinant of the double paraboloid and Diophantine approximation in ${\fam 5 R}^3$ and ${\fam 5 R}^4$.Math. Pannonica, 10, 1999, 111-122, MR 1678107 |
Reference:
|
[14] Nowak, W.G.: Diophantine approximation in ${\fam 5 R}^s$: On a method of Mordell and Armitage.Algebraic number theory and Diophantine analysis. Proceedings of the conference held in Graz, Austria, August 30 to September 5, 1998, 2000, 339-349, W. de Gruyter, Berlin, MR 1770472 |
Reference:
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[15] Prasad, A.V.: Simultaneous Diophantine approximation.Proc. Indian Acad. Sci. A, 31, 1950, 1-15, Zbl 0036.30801, MR 0036270 |
Reference:
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Reference:
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