Improved upper bounds for the star discrepancy of digital nets in dimension 3

Acta Arithmetica

Volumn 108, Issue 2, 2003, Pages 167-189

  Pillichshammer, Friedrich ^a  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

Digital nets; Digital sequence; Star discrepancy; Walsh series analysis

Indexed keywords

EID: 0041672239     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa108-2-7     Document Type: Article

References (7)

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2. G. Larcher, H. Niederreiter and W. Ch. Schmid, Digital nets and sequences constructed over finite rings and their application to quasi-Monte Carlo integration, Monatsh. Math. 121 (1996), 231-253.
3. 2-discrepancy of symmetrisized point sets, ibid. 132 (2001), 1-18.
4. _, _, Sums of distances to the nearest integer and the discrepancy of digital nets, Acta Arith. 106 (2003), 379-408.
5. G. Larcher and G. Pirsic, Base change problems for generalized Walsh series and multivariate numerical integration, Pacific J. Math. 189 (1999), 75-105.
6. H. Niederreiter, Point sets and sequences with small discrepancy, Monatsh. Math. 104 (1987), 273-337.
7. _, Random Number Generation and Quasi-Monte Carlo Methods, CBMS-NSF Regional Conf. Ser. in Appl. Math. 63, SIAM, Philadelphia, 1992.