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Restricted diophantine approximation
Published online by Cambridge University Press: 09 April 2009
Abstract
The problem considered is that of approximating irrationals α by rationals p/q where p and q avoid certain congruence classes mod 2k for certain integers k. Results are obtained which give close bounds on a number c such that |α - p/q| < c/q2 has infinitely many solutions where p and q can be expressed as the sum of three squares.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 24 , Issue 4 , December 1977 , pp. 425 - 439
- Copyright
- Copyright © Australian Mathematical Society 1977
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