Reducing hyperarithmetic sequences
Hans Carstens (1975)
Fundamenta Mathematicae
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Hans Carstens (1975)
Fundamenta Mathematicae
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Harald Niederreiter (2009)
Acta Arithmetica
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C. Zaremba (1963)
Applicationes Mathematicae
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Křížek, Michal, Šolcová, Alena, Somer, Lawrence
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D. F. Dawson (1969)
Matematički Vesnik
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(2012)
Acta Arithmetica
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Jovan D. Kečkić (1973)
Publications de l'Institut Mathématique
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Henri Faure, Christiane Lemieux (2013)
Acta Arithmetica
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This short note is intended to correct an inaccuracy in the proof of Theorem 3 in the paper mentioned in the title. The result of Theorem 3 remains true without any other change in the proof. Furthermore, a misprint is pointed out.
David Boyd (1979)
Acta Arithmetica
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Lenny Jones (2012)
Acta Arithmetica
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Mercer, A.McD. (1978)
International Journal of Mathematics and Mathematical Sciences
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Henri Faure, Christiane Lemieux (2016)
Acta Arithmetica
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Sobol' sequences are a popular family of low-discrepancy sequences, in spite of requiring primitive polynomials instead of irreducible ones in later constructions by Niederreiter and Tezuka. We introduce a generalization of Sobol' sequences that removes this shortcoming and that we believe has the potential of becoming useful for practical applications. Indeed, these sequences preserve two important properties of the original construction proposed by Sobol': their generating matrices...