On the fractional parts of certain additive forms

In this paper, k is a positive integer, k ≧ 2; K denotes 2k−1, and ε is an arbitrary positive number. X = (x1, …, xs) and U = (u1, …, ur) are integer vectors; is the distance from the real number y to the nearest integer.

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Veröffentlicht in:Mathematical proceedings of the Cambridge Philosophical Society 1976-05, Vol.79 (3), p.463-467
Hauptverfasser: Baker, R. C., Gajraj, J.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, k is a positive integer, k ≧ 2; K denotes 2k−1, and ε is an arbitrary positive number. X = (x1, …, xs) and U = (u1, …, ur) are integer vectors; is the distance from the real number y to the nearest integer.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004100052464