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We construct a Markov normal sequence with a discrepancy of . The estimation of the discrepancy was previously known to be .
On construit une suite normale de Markov dont la discrépance est , améliorant en cela un résultat donnant l’estimation .
@article{JTNB_1996__8_2_413_0, author = {Levin, M. B.}, title = {On the discrepancy of {Markov-normal} sequences}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {413--428}, publisher = {Universit\'e Bordeaux I}, volume = {8}, number = {2}, year = {1996}, mrnumber = {1438479}, zbl = {0916.11044}, language = {en}, url = {http://geodesic.mathdoc.fr/item/JTNB_1996__8_2_413_0/} }
Levin, M. B. On the discrepancy of Markov-normal sequences. Journal de théorie des nombres de Bordeaux, Tome 8 (1996) no. 2, pp. 413-428. http://geodesic.mathdoc.fr/item/JTNB_1996__8_2_413_0/