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Volumn , Issue 545, 2002, Pages 67-95

Explicit constructions in the classical mean squares problem in irregularities of point distribution

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EID: 0036249034     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.2002.037     Document Type: Article
Times cited : (69)

References (33)
  • 3
    • 84972208824 scopus 로고
    • On irregularities of distribution
    • W. W. L. Chen, On irregularities of distribution, Mathematika 27 (1980), 153-170.
    • (1980) Mathematika , vol.27 , pp. 153-170
    • Chen, W.W.L.1
  • 4
    • 0040749742 scopus 로고
    • On irregularities of distribution II
    • W. W. L. Chen, On irregularities of distribution II, Quart. J. Math. Oxford 34 (1983), 257-279.
    • (1983) Quart. J. Math. Oxford , vol.34 , pp. 257-279
    • Chen, W.W.L.1
  • 5
    • 0010121729 scopus 로고    scopus 로고
    • Davenport's theorem in the theory of irregularities of point distribution
    • W. W. L. Chen, M. M. Skriganov, Davenport's theorem in the theory of irregularities of point distribution, Zapiski Nauch. Sem. POMI 269 (2000), 339-353.
    • (2000) Zapiski Nauch. Sem. POMI , vol.269 , pp. 339-353
    • Chen, W.W.L.1    Skriganov, M.M.2
  • 6
    • 84971166962 scopus 로고
    • Note on irregularities of distribution
    • H. Davenport, Note on irregularities of distribution, Mathematika 3 (1956), 131-135.
    • (1956) Mathematika , vol.3 , pp. 131-135
    • Davenport, H.1
  • 7
    • 0042788994 scopus 로고
    • An effective proof of Roth's theorem on quadratic dispersion
    • N. M. Dobrovol'skiǐ, An effective proof of Roth's theorem on quadratic dispersion, Uspekhi Mat. Nauk 39 (1984), 155-156; english translation: Russian Math. Surv. 39 (1984), 117-118.
    • (1984) Uspekhi Mat. Nauk , vol.39 , pp. 155-156
    • Dobrovol'skiǐ, N.M.1
  • 8
    • 84888106409 scopus 로고
    • english translation
    • N. M. Dobrovol'skiǐ, An effective proof of Roth's theorem on quadratic dispersion, Uspekhi Mat. Nauk 39 (1984), 155-156; english translation: Russian Math. Surv. 39 (1984), 117-118.
    • (1984) Russian Math. Surv. , vol.39 , pp. 117-118
  • 9
    • 0001013260 scopus 로고
    • Discrépance de suites associées à un système de numération (en dimension s)
    • H. Faure, Discrépance de suites associées à un système de numération (en dimension s), Acta Arith. 41 (1982), 337-351.
    • (1982) Acta Arith. , vol.41 , pp. 337-351
    • Faure, H.1
  • 10
    • 84968466278 scopus 로고
    • On the Walsh functions
    • N. J. Fine, On the Walsh functions, Trans. Amer. Math. Soc. 65 (1949), 373-414.
    • (1949) Trans. Amer. Math. Soc. , vol.65 , pp. 373-414
    • Fine, N.J.1
  • 13
    • 85088339332 scopus 로고    scopus 로고
    • 2-discrepancy of the Sobol-Faure-Niederreiter net in dimension 3
    • to appear
    • 2-discrepancy of the Sobol-Faure-Niederreiter net in dimension 3, J. Complexity, to appear.
    • J. Complexity
    • Larcher, G.1    Pillichshammer, F.2
  • 16
    • 0033468368 scopus 로고    scopus 로고
    • Association schemes for ordered orthogonal arrays and (T, M, S)-nets
    • W. J. Martin, D. R. Stinson, Association schemes for ordered orthogonal arrays and (T, M, S)-nets, Canadian J. Math. 51 (1999), 326-346.
    • (1999) Canadian J. Math. , vol.51 , pp. 326-346
    • Martin, W.J.1    Stinson, D.R.2
  • 17
    • 8344289793 scopus 로고
    • Point sets and sequences with small discrepancy
    • H. Niederreiter, Point sets and sequences with small discrepancy, Monatsh. Math. 104 (1987), 273-337.
    • (1987) Monatsh. Math. , vol.104 , pp. 273-337
    • Niederreiter, H.1
  • 18
    • 0042287920 scopus 로고    scopus 로고
    • Nets, (t, s)-sequences, and algebraic curves over finite fields with many rational points, International Congress of Mathematicians in Berlin, Extra Volume III
    • H. Niederreiter, Nets, (t, s)-sequences, and algebraic curves over finite fields with many rational points, International Congress of Mathematicians in Berlin, Extra Volume III, Documenta Mathematica (1998), 337-386.
    • (1998) Documenta Mathematica , pp. 337-386
    • Niederreiter, H.1
  • 19
    • 0040916235 scopus 로고
    • Certain groups of orthonormal step functions
    • J. J. Price, Certain groups of orthonormal step functions, Canadian J. Math. 9 (1957), 413-425.
    • (1957) Canadian J. Math. , vol.9 , pp. 413-425
    • Price, J.J.1
  • 20
    • 0005101428 scopus 로고    scopus 로고
    • Codes in the m-metric
    • M. Yu. Rosenbloom, M. A. Tsfasman, Codes in the m-metric, Problemi Peredachi Inf. 33 (1) (1997), 55-63; english translation: Probl. Inf. Trans. 33 (1) (1997), 45-52.
    • (1997) Problemi Peredachi Inf. , vol.33 , Issue.1 , pp. 55-63
    • Rosenbloom, M.Yu.1    Tsfasman, M.A.2
  • 21
    • 0005101428 scopus 로고    scopus 로고
    • english translation
    • M. Yu. Rosenbloom, M. A. Tsfasman, Codes in the m-metric, Problemi Peredachi Inf. 33 (1) (1997), 55-63; english translation: Probl. Inf. Trans. 33 (1) (1997), 45-52.
    • (1997) Probl. Inf. Trans. , vol.33 , Issue.1 , pp. 45-52
  • 22
    • 0002851522 scopus 로고
    • On irregularities of distribution
    • K. F. Roth, On irregularities of distribution, Mathematika 1 (1954), 73-79.
    • (1954) Mathematika , vol.1 , pp. 73-79
    • Roth, K.F.1
  • 23
    • 0000940648 scopus 로고
    • On irregularities of distribution III
    • K. F. Roth, On irregularities of distribution III, Acta Arith. 35 (1979), 373-384.
    • (1979) Acta Arith. , vol.35 , pp. 373-384
    • Roth, K.F.1
  • 24
    • 37949004450 scopus 로고
    • On irregularities of distribution IV
    • K. F. Roth, On irregularities of distribution IV, Acta Arith. 37 (1980), 67-75.
    • (1980) Acta Arith. , vol.37 , pp. 67-75
    • Roth, K.F.1
  • 26
    • 0038965164 scopus 로고
    • Lattices in algebraic number fields and uniform distributions modulo 1
    • M. M. Skriganov, Lattices in algebraic number fields and uniform distributions modulo 1, Algebra i Analiz 1 (2) (1989), 207-228; english translation: Leningrad Math. J. 1 (1990), 535-558.
    • (1989) Algebra i Analiz , vol.1 , Issue.2 , pp. 207-228
    • Skriganov, M.M.1
  • 27
    • 0040206844 scopus 로고
    • english translation
    • M. M. Skriganov, Lattices in algebraic number fields and uniform distributions modulo 1, Algebra i Analiz 1 (2) (1989), 207-228; english translation: Leningrad Math. J. 1 (1990), 535-558.
    • (1990) Leningrad Math. J. , vol.1 , pp. 535-558
  • 28
    • 0013514968 scopus 로고
    • Constructions of uniform distributions in terms of geometry of numbers
    • M. M. Skriganov, Constructions of uniform distributions in terms of geometry of numbers, Algebra i Analiz 6 (3) (1994), 200-230; reprinted in St. Petersburg Math. J. 6 (1995), 635-664.
    • (1994) Algebra i Analiz , vol.6 , Issue.3 , pp. 200-230
    • Skriganov, M.M.1
  • 29
    • 37949025697 scopus 로고
    • M. M. Skriganov, Constructions of uniform distributions in terms of geometry of numbers, Algebra i Analiz 6 (3) (1994), 200-230; reprinted in St. Petersburg Math. J. 6 (1995), 635-664.
    • (1995) St. Petersburg Math. J. , vol.6 , pp. 635-664
  • 30
    • 0043120784 scopus 로고    scopus 로고
    • Coding theory and uniform distributions
    • M. M. Skriganov, Coding theory and uniform distributions, Algebra i Analiz 13 (2) (2001), 191-239; english translation: St. Petersburg Math. J., to appear.
    • (2001) Algebra i Analiz , vol.13 , Issue.2 , pp. 191-239
    • Skriganov, M.M.1
  • 31
    • 0042788989 scopus 로고    scopus 로고
    • english translation, to appear
    • M. M. Skriganov, Coding theory and uniform distributions, Algebra i Analiz 13 (2) (2001), 191-239; english translation: St. Petersburg Math. J., to appear.
    • St. Petersburg Math. J.
  • 32
    • 0001352320 scopus 로고
    • On the distribution of points in a cube and the approximate evaluation of integrals
    • I. M. Sobol, On the distribution of points in a cube and the approximate evaluation of integrals, Ž. Vyčisl. Mat. i Mat. Fiz. 7 (1967), 784-802; english translation: USSR Comp. Math. and Math. Phys. 7 (1967), 86-112.
    • (1967) Ž. Vyčisl. Mat. i Mat. Fiz. , vol.7 , pp. 784-802
    • Sobol, I.M.1
  • 33
    • 0042788988 scopus 로고
    • english translation
    • I. M. Sobol, On the distribution of points in a cube and the approximate evaluation of integrals, Ž. Vyčisl. Mat. i Mat. Fiz. 7 (1967), 784-802; english translation: USSR Comp. Math. and Math. Phys. 7 (1967), 86-112.
    • (1967) USSR Comp. Math. and Math. Phys. , vol.7 , pp. 86-112


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