# Simultaneous diophantine approximation with square-free numbers

R. C. Baker; J. Brüder; G. Harman

Acta Arithmetica (1993)

- Volume: 63, Issue: 1, page 51-60
- ISSN: 0065-1036

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top## How to cite

topR. C. Baker, J. Brüder, and G. Harman. "Simultaneous diophantine approximation with square-free numbers." Acta Arithmetica 63.1 (1993): 51-60. <http://eudml.org/doc/206506>.

@article{R1993,

author = {R. C. Baker, J. Brüder, G. Harman},

journal = {Acta Arithmetica},

keywords = {simultaneous approximation; square-free numbers},

language = {eng},

number = {1},

pages = {51-60},

title = {Simultaneous diophantine approximation with square-free numbers},

url = {http://eudml.org/doc/206506},

volume = {63},

year = {1993},

}

TY - JOUR

AU - R. C. Baker

AU - J. Brüder

AU - G. Harman

TI - Simultaneous diophantine approximation with square-free numbers

JO - Acta Arithmetica

PY - 1993

VL - 63

IS - 1

SP - 51

EP - 60

LA - eng

KW - simultaneous approximation; square-free numbers

UR - http://eudml.org/doc/206506

ER -

## References

top- [1] R. C. Baker, Diophantine Inequalities, Clarendon Press, Oxford 1986. Zbl0592.10029
- [2] A. Balog and J. Friedlander, Simultaneous diophantine approximation using primes, Bull. London Math. Soc. 20 (1988), 289-292. Zbl0652.10028
- [3] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Clarendon Press, Oxford 1979. Zbl0423.10001
- [4] G. Harman, Diophantine approximation with square-free integers, Math. Proc. Cambridge Philos. Soc. 95 (1984), 381-388. Zbl0539.10025
- [5] G. Harman, Simultaneous diophantine approximation with primes, J. London Math. Soc. (2) 39 (1989), 405-413. Zbl0687.10025
- [6] D. R. Heath-Brown, Diophantine approximation with square-free numbers, Math. Z. 187 (1984), 335-344. Zbl0539.10026
- [7] W. M. Schmidt, Approximation to algebraic numbers, Enseign. Math.(2) 17 (1971), 187-253. Zbl0226.10033

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