Simultaneous diophantine approximation with square-free numbers

ArticleOriginal scientific text

Title

Authors ¹, ², ³

Department of Mathematics, Brigham Young Iniversity, Provo, Utah 84602, U.S.A.
Mathematisches Institut, Georg-August-Universität, Bunsenstrasse 3-5, 3400 Göttingen, Germany
Mathematics Institute, University of Wales College of Cardiff, Senghennydd Road, Cardiff CF24AG, U.K.

R. C. Baker, Diophantine Inequalities, Clarendon Press, Oxford 1986.
A. Balog and J. Friedlander, Simultaneous diophantine approximation using primes, Bull. London Math. Soc. 20 (1988), 289-292.
G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Clarendon Press, Oxford 1979.
G. Harman, Diophantine approximation with square-free integers, Math. Proc. Cambridge Philos. Soc. 95 (1984), 381-388.
G. Harman, Simultaneous diophantine approximation with primes, J. London Math. Soc. (2) 39 (1989), 405-413.
D. R. Heath-Brown, Diophantine approximation with square-free numbers, Math. Z. 187 (1984), 335-344.
W. M. Schmidt, Approximation to algebraic numbers, Enseign. Math.(2) 17 (1971), 187-253.