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Cassels, J. W. S.

Über \(\displaystyle{\lim_{x\to +\infty}} x|\vartheta x+\alpha - y|\). (German) Zbl 0055.04401

Math. Ann. 127, 288-304 (1954).
Reviewer: Th. Schneider
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 4 Reviews
Cited in 9 Documents

MSC:

11J25 Diophantine inequalities
11J70 Continued fractions and generalizations

Keywords:

inequality; continued fraction approximation
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Full Text: DOI EuDML

References:

[1] Cassels, J. W. S.: Proc. Cambridge Phil. Soc.44, 1-7 (1948). · doi:10.1017/S0305004100023914
[2] Cole, A. J. Proc. Kon. Ned. Akad. Wet. Amsterdam, Series A56 = Indag. Math.15, 144-157 (1953).
[3] Descombes, R., u.G. Poitou: Comptes Rendus (Paris)234, 581-583 und 1522-1524 (1952).
[4] Jogin, I. I.: U?enje Zapiski Moskov. Gos. Univ. Matematika73, 41-44 (1944). (Mir nur aus Math. Reviews7, 274 (1946) bekannt.)
[5] Khintchine, A. Ja.: Math. Annalen111, 631-637 (1935). · Zbl 0012.24705 · doi:10.1007/BF01472245
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