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Rational Points on Linear Subspaces. Representation of an Integer as a Sum of Squares with Accessory Conditions

Published online by Cambridge University Press:  20 November 2018

T. S. Motzkin
T. S. Motzkin*
Affiliation:
University of California, Los Angeles
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The present study was motivated by an investigation of algebraic conjugates in the complex plane (cf. 4 for one of the results) where some of its concepts are extended and applied.

Let F be a flat (linear subspace) in real affine n-space. The points z = (ζ1, . . . , ζn) on F for which the least common denominator of the coordinates ζv is minimum form a grid G, the main grid of F, studied in § 3.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 206 - 213
Copyright
Copyright © Canadian Mathematical Society 1963

References

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