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

How to cite

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R. 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

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

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