References
Beck, J.: Some upper bounds in the theory of irregularities of distribution. Acta Arith.43, 115–130 (1984)
Beck, J.: Irregularities of distribution. I. Acta Math.159, 1–49 (1987)
Erdös, P.: Problems and results on diophantine approximation. Compos. Math.16, 52–66 (1964)
Halász, G.: On Roth's method in the theory of irregularities of point distributions. Recent Progress in Analytic Number Theory, Vol. 2, pp. 79–94. London: Academic Press, 1981
Montgomery, H.L.: Irregularities of distribution by means of power sums. Proceedings of the Congress de Teoria de los Numeros, Bilbao, 1984 (to appear)
Roth, K.F.: On irregularities of distribution. Mathematika1, 73–79 (1954)
Roth, K.F.: On a theorem of Beck. Glasgow Math. J.27, 195–201 (1985)
Schmidt, W.M.: Irregularities of distribution. IV. Invent. Math.7, 55–82 (1969)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Beck, J. On a problem of W. M. Schmidt concerning one-sided irregularities of point distributions. Math. Ann. 285, 29–55 (1989). https://doi.org/10.1007/BF01442670
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01442670