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References
R.C. Baker, Fractional parts of several polynomials. Quart. J. Math. Oxford (2), 28(1977), 453–471.
R.C. Baker, Fractional parts of several polynomials. II. Mathematika 25(1978), 76–93.
R.C. Baker, Fractional parts of several polynomials. III. To appear, Quart. J. Math. Oxford.
R.C. Baker, On the distribution modulo 1 of the sequence αn3+βn2+γn. To appear, Acta Arithmetica.
R.C. Baker, Some non-linear Diophantine approximations. II. To appear.
R.C. Baker, Small fractional parts of quadratic forms. To appear.
R.C. Baker and J. Gajraj, Some non-linear Diophantine approximations. Acta Arithmetica 31(1976), 325–341.
R.C. Baker and J. Gajraj, On the fractional parts of certain additive forms. Math. Proc. Camb. Phil. Soc. 79(1976), 463–467.
R.C. Baker and W.M. Schmidt, Diophantine problems in variables restricted to the values 0 and 1. To appear.
J.W.S. Cassels, An introduction to Diophantine approximation. Cambridge University Press, 1957.
I. Danicic, Ph.D. Thesis (London, 1957).
I. Danicic, An extension of a theorem of Heilbronn. Mathematika 5 (1958), 30–37.
I. Danicic, On the fractional parts of Qx2 and ϕx2. J. Lond. Math. Soc. 34(1959), 353–357.
I. Danicic, The distribution (mod 1) of pairs of quadratic forms with integer variables, J. London Math. Soc. 42(1967), 618–623.
H. Davenport, On a theorem of Heilbronn. Quart. J. Math. Oxford (2), 18 (1967), 339–344.
H. Davenport, Indefinite quadratic forms in many variables. II. Proc. Lond. Math. Soc. (3), 8(1958), 109–126.
H. Heilbronn, On the distribution of the sequence n2 Q (mod 1), Quart. J. Math. Oxford (1), 19(1948), 249–256.
M.C. Liu, On the fractional parts of Qnk and ϕnk. Quart. J. Math. (2), 21(1970), 481–486.
A. Schinzel, H.P. Schlickewei and W.M. Schmidt, Small solutions of quadratic congruences and quadratic inequalities. To appear, Acta Arithmetica.
H.P. Schlickewei, On indefinite diagonal forms in many variables, To appear.
W.M. Schmidt, On the distribution modulo one of the sequence αn2+βn. Can. J. Math. 29(1977), 819–826.
W.M. Schmidt, Small fractional parts of polynomials. American Mathematical Society, 1977.
W.M. Schmidt, Diophantine inequalities for forms of odd degree. To appear.
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Baker, R.C. (1979). Recent results on fractional parts of polynomials. In: Nathanson, M.B. (eds) Number Theory Carbondale 1979. Lecture Notes in Mathematics, vol 751. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062699
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DOI: https://doi.org/10.1007/BFb0062699
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