Simultaneous diophantine approximation with square-free numbers

• Autorzy: R. C. Baker , J. Brüder , G. Harman
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1993
• Tom: 63
• Numer: 1
• Strony: 51-60

Daty

wydano

1993

otrzymano

1992-02-18

Twórcy

autor

R. C. Baker

• Department of Mathematics, Brigham Young Iniversity, Provo, Utah 84602, U.S.A.

autor

J. Brüder

• Mathematisches Institut, Georg-August-Universität, Bunsenstrasse 3-5, 3400 Göttingen, Germany

autor

G. Harman

• Mathematics Institute, University of Wales College of Cardiff, Senghennydd Road, Cardiff CF24AG, U.K.

Bibliografia

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