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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Simultaneous approximation of additive forms
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by Ming Chit Liu PDF
Trans. Amer. Math. Soc. 206 (1975), 361-373 Request permission


Let $X = ({x_1}, \cdots ,{x_s})$ be a vector of $s$ real components and ${f_i}(X) = \sum \nolimits _{j = 1}^s {{\theta _{ij}}x_j^k} (k = 2,3, \cdots ;i = 1, \cdots ,R) R$ additive forms, where ${\theta _{ij}}$ are arbitrary real numbers. The author obtains some results on the simultaneous approximation of $||{f_i}(X)||$, where $||t||$ means the distance from $t$ to the nearest integer.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 206 (1975), 361-373
  • MSC: Primary 10F10
  • DOI:
  • MathSciNet review: 0366820