Bulletin of the American Mathematical Society

MathSciNet review: 1567650
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Book Information:

Author: R. C. Baker
Title: Diophantine inequalities
Additional book information: London Mathematical Society Monographs, New Series, vol. 1, Clarendon Press, Oxford, 1986, xii + 275 pp., $65.00. ISBN 0-19-853545-7.

R. C. Baker, Weyl sums and Diophantine approximation, J. London Math. Soc. (2) 25 (1982), no. 1, 25–34. MR 645861, DOI 10.1112/jlms/s2-25.1.25

B. J. Birch, Homogeneous forms of odd degree in a large number of variables, Mathematika 4 (1957), 102–105. MR 97359, DOI 10.1112/S0025579300001145

H. Davenport, Cubic forms in sixteen variables, Proc. Roy. Soc. London Ser. A 272 (1963), 285–303. MR 155800, DOI 10.1098/rspa.1963.0054

H. Davenport and H. Heilbronn, On indefinite quadratic forms in five variables, J. London Math. Soc. 21 (1946), 185–193. MR 20578, DOI 10.1112/jlms/s1-21.3.185

D. R. Heath-Brown, Cubic forms in ten variables, Proc. London Math. Soc. (3) 47 (1983), no. 2, 225–257. MR 703978, DOI 10.1112/plms/s3-47.2.225

H. Heilbronn, On the distribution of the sequence $n^2\theta (\textrm {mod} 1)$, Quart. J. Math. Oxford Ser. 19 (1948), 249–256. MR 27294, DOI 10.1093/qmath/os-19.1.249

Wolfgang M. Schmidt, Small solutions of congruences with prime modulus, Diophantine analysis (Kensington, 1985) London Math. Soc. Lecture Note Ser., vol. 109, Cambridge Univ. Press, Cambridge, 1986, pp. 37–66. MR 874120

R. C. Vaughan, The Hardy-Littlewood method, Cambridge Tracts in Mathematics, vol. 80, Cambridge University Press, Cambridge-New York, 1981. MR 628618

1.

R. C. Baker, Weyl sums and Diophantine approximation, J. London Math. Soc. (2) 25 (1982), 25-34. MR 0645861

2.

B. J. Birch, Homogeneous forms of odd degree in a large number of variables, Mathematika 4 (1957), 102-105. MR 97359

3.

H. Davenport, Cubic forms in sixteen variables, Proc. Roy. Soc. London Ser. A 272 (1963), 285-303. MR 155800

4.

H. Davenport and H. Heilbronn, On indefinite quadratic forms in five variables, J. London Math. Soc. 21 (1946), 185-193. MR 20578

5.

D. R. Heath-Brown, Cubic forms in ten variables, Proc. London Math. Soc. (3) 47 (1983), 225-257. MR 703978

6.

H. Heilbronn, On the distribution of the sequence θn (mod 1), Quart. J. Math. Oxford Ser. (2) 19 (1948), 249-256. MR 27294

7.

W. M. Schmidt, Small solutions of congruences with prime modulus, Diophantine Analysis (J. Loxton and A. van der Poorten, eds. ), London Math. Soc. Lecture Notes, vol. 109, Cambridge Univ. Press, 1986. MR 874120

8.

R. C. Vaughan, The Hardy-Littlewood method, Cambridge Univ. Press, Cambridge, 1981. MR 628618