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Book Review
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Book Information
Author(s):
L. Kuipers and H. Niederreiter
Title:
Uniform distribution of sequences
Additional book information:
Wiley, New York, 1974, xiv+390 pp., $24.50
References:
- 1.
- J. Cigler and G. Helmberg, Neuere Entwicklungen der Theorie der Gleichverteilung, Jber. Deutsch. Math. Verein. 64 (1961). Abt. 1, 1-50. MR 23 #A2409. MR 125102
- 2.
- J. Franel, Les suites de Farey et les problèmes des nombres premiers, Nachr. Ges. Wiss. Göttingen Math.-Phys. Kl. 1924, 198-201.
- 3.
- G. H. Hardy and J. L. Littlewood, Some problems on diophantine approximation, Proc. Fifth Internat. Conf. Math. (Cambridge, 1912), pp. 223-229; G. H. Hardy, Collected papers. Vol. 1, Oxford Univ. Press, Oxford, 1966, pp. 20-27. MR 34 #1151.
- 4.
- G. H. Hardy and J. L. Littlewood, Some problems on diophantine approximation: The lattice points of a right-angled triangle. I, Proc. London Math. Soc. (2) 20 (1922), 15-36; G. H. Hardy, Collected papers. Vol. 1, Oxford Univ. Press, Oxford, 1966, pp. 136-158. MR 34 #1151.
- 5.
- M. N. Huxley, The distribution of Farey points. I, Acta Arith. 18 (1971), 281-287. MR 45 #6774. MR 297722
- 6.
- J. F. Koksma, Diophantische Approximationen, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 4, Springer-Verlag, Berlin, 1936. MR 344200
- 7.
- J. F. Koksma, The theory of asymptotic distribution modulo one, Compositio Math. 16 (1964), 1-22. MR 30 #3874. MR 173664
- 8.
- M. Lerch, Question 1547, Intermédiaire Math. 11 (1904), 144-145.
- 9.
- W. M. Schmidt, Irregularities of distribution. VII, Acta Arith. 21 (1972), 45-50. MR 319933
- 10.
- D. C. Spencer, The lattice points of tetrahedra, J. Math. Phys. Mass. Inst. Tech. 21 (1942), 189-197. MR 4, 190. MR 7767
- 11.
- H. Weyl, Ueber ein Problem aus dem Gebiete der diophantischen Approximationen, Nachr. Ges. Wiss. Göttingen. Math.-Phys. Kl. 1914, 234-244; Gesammelte Abhandlungen. Band I, Springer-Verlag, Berlin and New York, 1968, pp. 487-497. MR 37 #6157.
- 12.
- H. Weyl, Sur une application de la théorie des nombres à la mécanique statistique et la théorie des perturbations, Enseignement Math. 16 (1914), 455-467. Gesammelte Abhandlungen, Band I, Springer-Verlag, Berlin and New York, 1968, pp. 498-510. MR 37 #6157.
- 13.
- H. Weyl, Ueber die Gleichverteilung von Zahlen mod Eins, Math. Ann. 77 (1916) 313-352. Gesammelte Abhandlungen, Band I, Springer-Verlag, Berlin and New York, 1968, pp. 563-599. MR 37 #6157. MR 1511862
- 14.
- S. K. Zaremba (Ed.), Applications of number theory to numerical analysis, Academic Press, New York, 1972. MR 334452
Additional Information:
Reviewer(s):
R.
Tijdeman
Review Information:
Journal:
Bull. Amer. Math. Soc.
81
(1975),
672-675.
DOI:
10.1090/S0002-9904-1975-13818-3
PII:
S 0002-9904(1975)13818-3
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